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Finding the Fourth Proportional to 568.16, 784.71 and 372.54

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Solution

The fourth proportional to 568.16, 784.71 and 372.54 is: 514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.16 : 784.71 = 372.54 : x
  2. Step 2: Convert to fraction form
    568.16/784.71 = 372.54/x
  3. Step 3: Cross multiply
    568.16x = 784.71 × 372.54
  4. Step 4: Simplify right side
    568.16x = 292,335.86
  5. Step 5: Solve for x
    x = 292,335.86/568.16
  6. Step 6: Final answer
    x = 514.54

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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.