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Finding the Fourth Proportional to 519.48, 717.06 and 322.92

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Solution

The fourth proportional to 519.48, 717.06 and 322.92 is: 445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.48 : 717.06 = 322.92 : x
  2. Step 2: Convert to fraction form
    519.48/717.06 = 322.92/x
  3. Step 3: Cross multiply
    519.48x = 717.06 × 322.92
  4. Step 4: Simplify right side
    519.48x = 231,553.02
  5. Step 5: Solve for x
    x = 231,553.02/519.48
  6. Step 6: Final answer
    x = 445.74

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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.