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Finding the Fourth Proportional to 567.19, 782.67 and 331.17

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Solution

The fourth proportional to 567.19, 782.67 and 331.17 is: 456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.19 : 782.67 = 331.17 : x
  2. Step 2: Convert to fraction form
    567.19/782.67 = 331.17/x
  3. Step 3: Cross multiply
    567.19x = 782.67 × 331.17
  4. Step 4: Simplify right side
    567.19x = 259,196.82
  5. Step 5: Solve for x
    x = 259,196.82/567.19
  6. Step 6: Final answer
    x = 456.98

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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.