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Finding the Fourth Proportional to 445.36, 614.64 and 378.76

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Solution

The fourth proportional to 445.36, 614.64 and 378.76 is: 522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.36 : 614.64 = 378.76 : x
  2. Step 2: Convert to fraction form
    445.36/614.64 = 378.76/x
  3. Step 3: Cross multiply
    445.36x = 614.64 × 378.76
  4. Step 4: Simplify right side
    445.36x = 232,801.05
  5. Step 5: Solve for x
    x = 232,801.05/445.36
  6. Step 6: Final answer
    x = 522.73

Related Problems

Find fourth proportional to 222.68, 307.32 and 189.38
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.