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Finding the Fourth Proportional to 518.92, 715.70 and 332.22

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Solution

The fourth proportional to 518.92, 715.70 and 332.22 is: 458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.92 : 715.70 = 332.22 : x
  2. Step 2: Convert to fraction form
    518.92/715.70 = 332.22/x
  3. Step 3: Cross multiply
    518.92x = 715.70 × 332.22
  4. Step 4: Simplify right side
    518.92x = 237,769.85
  5. Step 5: Solve for x
    x = 237,769.85/518.92
  6. Step 6: Final answer
    x = 458.20

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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.