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Finding the Fourth Proportional to 508.31, 761.73 and 288.47

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Solution

The fourth proportional to 508.31, 761.73 and 288.47 is: 432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.31 : 761.73 = 288.47 : x
  2. Step 2: Convert to fraction form
    508.31/761.73 = 288.47/x
  3. Step 3: Cross multiply
    508.31x = 761.73 × 288.47
  4. Step 4: Simplify right side
    508.31x = 219,732.44
  5. Step 5: Solve for x
    x = 219,732.44/508.31
  6. Step 6: Final answer
    x = 432.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.