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Finding the Fourth Proportional to 672.47, 927.61 and 406.73

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Solution

The fourth proportional to 672.47, 927.61 and 406.73 is: 561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.47 : 927.61 = 406.73 : x
  2. Step 2: Convert to fraction form
    672.47/927.61 = 406.73/x
  3. Step 3: Cross multiply
    672.47x = 927.61 × 406.73
  4. Step 4: Simplify right side
    672.47x = 377,281.16
  5. Step 5: Solve for x
    x = 377,281.16/672.47
  6. Step 6: Final answer
    x = 561.04

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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.