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Finding the Fourth Proportional to 461.52, 693.04 and 411.28

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Solution

The fourth proportional to 461.52, 693.04 and 411.28 is: 617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.52 : 693.04 = 411.28 : x
  2. Step 2: Convert to fraction form
    461.52/693.04 = 411.28/x
  3. Step 3: Cross multiply
    461.52x = 693.04 × 411.28
  4. Step 4: Simplify right side
    461.52x = 285,033.49
  5. Step 5: Solve for x
    x = 285,033.49/461.52
  6. Step 6: Final answer
    x = 617.60

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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.