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Finding the Fourth Proportional to 567.14, 782.70 and 331.10

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Solution

The fourth proportional to 567.14, 782.70 and 331.10 is: 456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.14 : 782.70 = 331.10 : x
  2. Step 2: Convert to fraction form
    567.14/782.70 = 331.10/x
  3. Step 3: Cross multiply
    567.14x = 782.70 × 331.10
  4. Step 4: Simplify right side
    567.14x = 259,151.97
  5. Step 5: Solve for x
    x = 259,151.97/567.14
  6. Step 6: Final answer
    x = 456.95

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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.