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Finding the Fourth Proportional to 672.78, 928.16 and 410.70

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Solution

The fourth proportional to 672.78, 928.16 and 410.70 is: 566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.78 : 928.16 = 410.70 : x
  2. Step 2: Convert to fraction form
    672.78/928.16 = 410.70/x
  3. Step 3: Cross multiply
    672.78x = 928.16 × 410.70
  4. Step 4: Simplify right side
    672.78x = 381,195.31
  5. Step 5: Solve for x
    x = 381,195.31/672.78
  6. Step 6: Final answer
    x = 566.60

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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.