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Finding the Fourth Proportional to 610.56, 841.92 and 461.12

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Solution

The fourth proportional to 610.56, 841.92 and 461.12 is: 635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.56 : 841.92 = 461.12 : x
  2. Step 2: Convert to fraction form
    610.56/841.92 = 461.12/x
  3. Step 3: Cross multiply
    610.56x = 841.92 × 461.12
  4. Step 4: Simplify right side
    610.56x = 388,226.15
  5. Step 5: Solve for x
    x = 388,226.15/610.56
  6. Step 6: Final answer
    x = 635.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.