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Finding the Fourth Proportional to 672.10, 927.43 and 392.24

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Solution

The fourth proportional to 672.10, 927.43 and 392.24 is: 541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.10 : 927.43 = 392.24 : x
  2. Step 2: Convert to fraction form
    672.10/927.43 = 392.24/x
  3. Step 3: Cross multiply
    672.10x = 927.43 × 392.24
  4. Step 4: Simplify right side
    672.10x = 363,775.14
  5. Step 5: Solve for x
    x = 363,775.14/672.10
  6. Step 6: Final answer
    x = 541.25

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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.