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Finding the Fourth Proportional to 501, 691.24 and 323.97

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Solution

The fourth proportional to 501, 691.24 and 323.97 is: 446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    501 : 691.24 = 323.97 : x
  2. Step 2: Convert to fraction form
    501/691.24 = 323.97/x
  3. Step 3: Cross multiply
    501x = 691.24 × 323.97
  4. Step 4: Simplify right side
    501x = 223,941.02
  5. Step 5: Solve for x
    x = 223,941.02/501
  6. Step 6: Final answer
    x = 446.99

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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.