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Finding the Fourth Proportional to 442.46, 610.54 and 332.24

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Solution

The fourth proportional to 442.46, 610.54 and 332.24 is: 458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.46 : 610.54 = 332.24 : x
  2. Step 2: Convert to fraction form
    442.46/610.54 = 332.24/x
  3. Step 3: Cross multiply
    442.46x = 610.54 × 332.24
  4. Step 4: Simplify right side
    442.46x = 202,841.93
  5. Step 5: Solve for x
    x = 202,841.93/442.46
  6. Step 6: Final answer
    x = 458.44

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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.