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Finding the Fourth Proportional to 463.89, 695.24 and 408.54

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Solution

The fourth proportional to 463.89, 695.24 and 408.54 is: 612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.89 : 695.24 = 408.54 : x
  2. Step 2: Convert to fraction form
    463.89/695.24 = 408.54/x
  3. Step 3: Cross multiply
    463.89x = 695.24 × 408.54
  4. Step 4: Simplify right side
    463.89x = 284,031.76
  5. Step 5: Solve for x
    x = 284,031.76/463.89
  6. Step 6: Final answer
    x = 612.29

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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.