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Finding the Fourth Proportional to 501.02, 691.29 and 324.03

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Solution

The fourth proportional to 501.02, 691.29 and 324.03 is: 447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.02 : 691.29 = 324.03 : x
  2. Step 2: Convert to fraction form
    501.02/691.29 = 324.03/x
  3. Step 3: Cross multiply
    501.02x = 691.29 × 324.03
  4. Step 4: Simplify right side
    501.02x = 223,998.70
  5. Step 5: Solve for x
    x = 223,998.70/501.02
  6. Step 6: Final answer
    x = 447.09

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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.