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Finding the Fourth Proportional to 531.36, 732.96 and 324

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Solution

The fourth proportional to 531.36, 732.96 and 324 is: 446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.36 : 732.96 = 324 : x
  2. Step 2: Convert to fraction form
    531.36/732.96 = 324/x
  3. Step 3: Cross multiply
    531.36x = 732.96 × 324
  4. Step 4: Simplify right side
    531.36x = 237,479.04
  5. Step 5: Solve for x
    x = 237,479.04/531.36
  6. Step 6: Final answer
    x = 446.93

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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.