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Finding the Fourth Proportional to 519.92, 775.35 and 491.17

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Solution

The fourth proportional to 519.92, 775.35 and 491.17 is: 732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.92 : 775.35 = 491.17 : x
  2. Step 2: Convert to fraction form
    519.92/775.35 = 491.17/x
  3. Step 3: Cross multiply
    519.92x = 775.35 × 491.17
  4. Step 4: Simplify right side
    519.92x = 380,822.33
  5. Step 5: Solve for x
    x = 380,822.33/519.92
  6. Step 6: Final answer
    x = 732.46

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Why These Related Problems?

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