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Finding the Fourth Proportional to 672.36, 927.72 and 410.46

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Solution

The fourth proportional to 672.36, 927.72 and 410.46 is: 566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.36 : 927.72 = 410.46 : x
  2. Step 2: Convert to fraction form
    672.36/927.72 = 410.46/x
  3. Step 3: Cross multiply
    672.36x = 927.72 × 410.46
  4. Step 4: Simplify right side
    672.36x = 380,791.95
  5. Step 5: Solve for x
    x = 380,791.95/672.36
  6. Step 6: Final answer
    x = 566.35

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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.