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Finding the Fourth Proportional to 672.28, 927.80 and 410.28

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Solution

The fourth proportional to 672.28, 927.80 and 410.28 is: 566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.28 : 927.80 = 410.28 : x
  2. Step 2: Convert to fraction form
    672.28/927.80 = 410.28/x
  3. Step 3: Cross multiply
    672.28x = 927.80 × 410.28
  4. Step 4: Simplify right side
    672.28x = 380,657.78
  5. Step 5: Solve for x
    x = 380,657.78/672.28
  6. Step 6: Final answer
    x = 566.22

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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.