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Finding the Fourth Proportional to 559.24, 835.10 and 456.73

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Solution

The fourth proportional to 559.24, 835.10 and 456.73 is: 682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.24 : 835.10 = 456.73 : x
  2. Step 2: Convert to fraction form
    559.24/835.10 = 456.73/x
  3. Step 3: Cross multiply
    559.24x = 835.10 × 456.73
  4. Step 4: Simplify right side
    559.24x = 381,414.08
  5. Step 5: Solve for x
    x = 381,414.08/559.24
  6. Step 6: Final answer
    x = 682.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.