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Finding the Fourth Proportional to 508.84, 702.25 and 287.80

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Solution

The fourth proportional to 508.84, 702.25 and 287.80 is: 397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.84 : 702.25 = 287.80 : x
  2. Step 2: Convert to fraction form
    508.84/702.25 = 287.80/x
  3. Step 3: Cross multiply
    508.84x = 702.25 × 287.80
  4. Step 4: Simplify right side
    508.84x = 202,105.07
  5. Step 5: Solve for x
    x = 202,105.07/508.84
  6. Step 6: Final answer
    x = 397.19

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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.