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Finding the Fourth Proportional to 508.90, 702.24 and 287.80

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Solution

The fourth proportional to 508.90, 702.24 and 287.80 is: 397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.90 : 702.24 = 287.80 : x
  2. Step 2: Convert to fraction form
    508.90/702.24 = 287.80/x
  3. Step 3: Cross multiply
    508.90x = 702.24 × 287.80
  4. Step 4: Simplify right side
    508.90x = 202,104.67
  5. Step 5: Solve for x
    x = 202,104.67/508.90
  6. Step 6: Final answer
    x = 397.14

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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.