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Finding the Fourth Proportional to 886.92, 1,329.90 and 339.24

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Solution

The fourth proportional to 886.92, 1,329.90 and 339.24 is: 508.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.92 : 1,329.90 = 339.24 : x
  2. Step 2: Convert to fraction form
    886.92/1,329.90 = 339.24/x
  3. Step 3: Cross multiply
    886.92x = 1,329.90 × 339.24
  4. Step 4: Simplify right side
    886.92x = 451,155.28
  5. Step 5: Solve for x
    x = 451,155.28/886.92
  6. Step 6: Final answer
    x = 508.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.