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Finding the Fourth Proportional to 462.54, 693.36 and 410.91

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Solution

The fourth proportional to 462.54, 693.36 and 410.91 is: 615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.54 : 693.36 = 410.91 : x
  2. Step 2: Convert to fraction form
    462.54/693.36 = 410.91/x
  3. Step 3: Cross multiply
    462.54x = 693.36 × 410.91
  4. Step 4: Simplify right side
    462.54x = 284,908.56
  5. Step 5: Solve for x
    x = 284,908.56/462.54
  6. Step 6: Final answer
    x = 615.97

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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.