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Finding the Fourth Proportional to 672.75, 928.40 and 410.73

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Solution

The fourth proportional to 672.75, 928.40 and 410.73 is: 566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.75 : 928.40 = 410.73 : x
  2. Step 2: Convert to fraction form
    672.75/928.40 = 410.73/x
  3. Step 3: Cross multiply
    672.75x = 928.40 × 410.73
  4. Step 4: Simplify right side
    672.75x = 381,319.68
  5. Step 5: Solve for x
    x = 381,319.68/672.75
  6. Step 6: Final answer
    x = 566.81

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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.