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Finding the Fourth Proportional to 463.32, 693.36 and 408.24

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Solution

The fourth proportional to 463.32, 693.36 and 408.24 is: 610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 693.36 = 408.24 : x
  2. Step 2: Convert to fraction form
    463.32/693.36 = 408.24/x
  3. Step 3: Cross multiply
    463.32x = 693.36 × 408.24
  4. Step 4: Simplify right side
    463.32x = 283,057.29
  5. Step 5: Solve for x
    x = 283,057.29/463.32
  6. Step 6: Final answer
    x = 610.93

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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.