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Finding the Fourth Proportional to 463.44, 696.72 and 410.16

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Solution

The fourth proportional to 463.44, 696.72 and 410.16 is: 616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.44 : 696.72 = 410.16 : x
  2. Step 2: Convert to fraction form
    463.44/696.72 = 410.16/x
  3. Step 3: Cross multiply
    463.44x = 696.72 × 410.16
  4. Step 4: Simplify right side
    463.44x = 285,766.68
  5. Step 5: Solve for x
    x = 285,766.68/463.44
  6. Step 6: Final answer
    x = 616.62

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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.