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Finding the Fourth Proportional to 508.71, 761.94 and 288.83

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Solution

The fourth proportional to 508.71, 761.94 and 288.83 is: 432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.71 : 761.94 = 288.83 : x
  2. Step 2: Convert to fraction form
    508.71/761.94 = 288.83/x
  3. Step 3: Cross multiply
    508.71x = 761.94 × 288.83
  4. Step 4: Simplify right side
    508.71x = 220,073.04
  5. Step 5: Solve for x
    x = 220,073.04/508.71
  6. Step 6: Final answer
    x = 432.61

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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.