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Finding the Fourth Proportional to 508.97, 702.39 and 322.43

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Solution

The fourth proportional to 508.97, 702.39 and 322.43 is: 444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.97 : 702.39 = 322.43 : x
  2. Step 2: Convert to fraction form
    508.97/702.39 = 322.43/x
  3. Step 3: Cross multiply
    508.97x = 702.39 × 322.43
  4. Step 4: Simplify right side
    508.97x = 226,468.10
  5. Step 5: Solve for x
    x = 226,468.10/508.97
  6. Step 6: Final answer
    x = 444.96

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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.