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Finding the Fourth Proportional to 672.14, 927.37 and 410.15

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Solution

The fourth proportional to 672.14, 927.37 and 410.15 is: 565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.14 : 927.37 = 410.15 : x
  2. Step 2: Convert to fraction form
    672.14/927.37 = 410.15/x
  3. Step 3: Cross multiply
    672.14x = 927.37 × 410.15
  4. Step 4: Simplify right side
    672.14x = 380,360.81
  5. Step 5: Solve for x
    x = 380,360.81/672.14
  6. Step 6: Final answer
    x = 565.90

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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.