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Finding the Fourth Proportional to 610.44, 911.28 and 583.92

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Solution

The fourth proportional to 610.44, 911.28 and 583.92 is: 871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.44 : 911.28 = 583.92 : x
  2. Step 2: Convert to fraction form
    610.44/911.28 = 583.92/x
  3. Step 3: Cross multiply
    610.44x = 911.28 × 583.92
  4. Step 4: Simplify right side
    610.44x = 532,114.62
  5. Step 5: Solve for x
    x = 532,114.62/610.44
  6. Step 6: Final answer
    x = 871.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.