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Finding the Fourth Proportional to 509.31, 702.84 and 288.25

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Solution

The fourth proportional to 509.31, 702.84 and 288.25 is: 397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.31 : 702.84 = 288.25 : x
  2. Step 2: Convert to fraction form
    509.31/702.84 = 288.25/x
  3. Step 3: Cross multiply
    509.31x = 702.84 × 288.25
  4. Step 4: Simplify right side
    509.31x = 202,593.63
  5. Step 5: Solve for x
    x = 202,593.63/509.31
  6. Step 6: Final answer
    x = 397.78

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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.