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Finding the Fourth Proportional to 567.03, 782.50 and 331.14

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Solution

The fourth proportional to 567.03, 782.50 and 331.14 is: 456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.03 : 782.50 = 331.14 : x
  2. Step 2: Convert to fraction form
    567.03/782.50 = 331.14/x
  3. Step 3: Cross multiply
    567.03x = 782.50 × 331.14
  4. Step 4: Simplify right side
    567.03x = 259,111.48
  5. Step 5: Solve for x
    x = 259,111.48/567.03
  6. Step 6: Final answer
    x = 456.97

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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.