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Finding the Fourth Proportional to 562.36, 842.73 and 407.92

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Solution

The fourth proportional to 562.36, 842.73 and 407.92 is: 611.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.36 : 842.73 = 407.92 : x
  2. Step 2: Convert to fraction form
    562.36/842.73 = 407.92/x
  3. Step 3: Cross multiply
    562.36x = 842.73 × 407.92
  4. Step 4: Simplify right side
    562.36x = 343,766.42
  5. Step 5: Solve for x
    x = 343,766.42/562.36
  6. Step 6: Final answer
    x = 611.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.