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Finding the Fourth Proportional to 590.58, 815.34 and 380.76

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Solution

The fourth proportional to 590.58, 815.34 and 380.76 is: 525.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.58 : 815.34 = 380.76 : x
  2. Step 2: Convert to fraction form
    590.58/815.34 = 380.76/x
  3. Step 3: Cross multiply
    590.58x = 815.34 × 380.76
  4. Step 4: Simplify right side
    590.58x = 310,448.86
  5. Step 5: Solve for x
    x = 310,448.86/590.58
  6. Step 6: Final answer
    x = 525.67

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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.