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Finding the Fourth Proportional to 531.08, 732.90 and 324.20

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Solution

The fourth proportional to 531.08, 732.90 and 324.20 is: 447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.08 : 732.90 = 324.20 : x
  2. Step 2: Convert to fraction form
    531.08/732.90 = 324.20/x
  3. Step 3: Cross multiply
    531.08x = 732.90 × 324.20
  4. Step 4: Simplify right side
    531.08x = 237,606.18
  5. Step 5: Solve for x
    x = 237,606.18/531.08
  6. Step 6: Final answer
    x = 447.40

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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.