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Finding the Fourth Proportional to 610.68, 917.24 and 447.87

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Solution

The fourth proportional to 610.68, 917.24 and 447.87 is: 672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.68 : 917.24 = 447.87 : x
  2. Step 2: Convert to fraction form
    610.68/917.24 = 447.87/x
  3. Step 3: Cross multiply
    610.68x = 917.24 × 447.87
  4. Step 4: Simplify right side
    610.68x = 410,802.04
  5. Step 5: Solve for x
    x = 410,802.04/610.68
  6. Step 6: Final answer
    x = 672.70

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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.