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Finding the Fourth Proportional to 508.97, 763.61 and 421.91

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Solution

The fourth proportional to 508.97, 763.61 and 421.91 is: 632.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.97 : 763.61 = 421.91 : x
  2. Step 2: Convert to fraction form
    508.97/763.61 = 421.91/x
  3. Step 3: Cross multiply
    508.97x = 763.61 × 421.91
  4. Step 4: Simplify right side
    508.97x = 322,168.77
  5. Step 5: Solve for x
    x = 322,168.77/508.97
  6. Step 6: Final answer
    x = 632.99

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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.