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Finding the Fourth Proportional to 508.67, 702.39 and 343.43

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Solution

The fourth proportional to 508.67, 702.39 and 343.43 is: 474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.67 : 702.39 = 343.43 : x
  2. Step 2: Convert to fraction form
    508.67/702.39 = 343.43/x
  3. Step 3: Cross multiply
    508.67x = 702.39 × 343.43
  4. Step 4: Simplify right side
    508.67x = 241,221.80
  5. Step 5: Solve for x
    x = 241,221.80/508.67
  6. Step 6: Final answer
    x = 474.22

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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.