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Finding the Fourth Proportional to 567.20, 782.85 and 331.20

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Solution

The fourth proportional to 567.20, 782.85 and 331.20 is: 457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.20 : 782.85 = 331.20 : x
  2. Step 2: Convert to fraction form
    567.20/782.85 = 331.20/x
  3. Step 3: Cross multiply
    567.20x = 782.85 × 331.20
  4. Step 4: Simplify right side
    567.20x = 259,279.92
  5. Step 5: Solve for x
    x = 259,279.92/567.20
  6. Step 6: Final answer
    x = 457.12

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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.