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Finding the Fourth Proportional to 380.76, 525.68 and 262.69

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Solution

The fourth proportional to 380.76, 525.68 and 262.69 is: 362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.76 : 525.68 = 262.69 : x
  2. Step 2: Convert to fraction form
    380.76/525.68 = 262.69/x
  3. Step 3: Cross multiply
    380.76x = 525.68 × 262.69
  4. Step 4: Simplify right side
    380.76x = 138,089.24
  5. Step 5: Solve for x
    x = 138,089.24/380.76
  6. Step 6: Final answer
    x = 362.67

Related Problems

Find fourth proportional to 190.38, 262.84 and 131.34
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.