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Finding the Fourth Proportional to 567.57, 784.17 and 493.86

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Solution

The fourth proportional to 567.57, 784.17 and 493.86 is: 682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.57 : 784.17 = 493.86 : x
  2. Step 2: Convert to fraction form
    567.57/784.17 = 493.86/x
  3. Step 3: Cross multiply
    567.57x = 784.17 × 493.86
  4. Step 4: Simplify right side
    567.57x = 387,270.20
  5. Step 5: Solve for x
    x = 387,270.20/567.57
  6. Step 6: Final answer
    x = 682.33

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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.