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Finding the Fourth Proportional to 891.92, 1,337.46 and 344.10

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Solution

The fourth proportional to 891.92, 1,337.46 and 344.10 is: 515.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.92 : 1,337.46 = 344.10 : x
  2. Step 2: Convert to fraction form
    891.92/1,337.46 = 344.10/x
  3. Step 3: Cross multiply
    891.92x = 1,337.46 × 344.10
  4. Step 4: Simplify right side
    891.92x = 460,219.99
  5. Step 5: Solve for x
    x = 460,219.99/891.92
  6. Step 6: Final answer
    x = 515.99

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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.