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Finding the Fourth Proportional to 672.04, 927.46 and 410.10

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Solution

The fourth proportional to 672.04, 927.46 and 410.10 is: 565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.04 : 927.46 = 410.10 : x
  2. Step 2: Convert to fraction form
    672.04/927.46 = 410.10/x
  3. Step 3: Cross multiply
    672.04x = 927.46 × 410.10
  4. Step 4: Simplify right side
    672.04x = 380,351.35
  5. Step 5: Solve for x
    x = 380,351.35/672.04
  6. Step 6: Final answer
    x = 565.97

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