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Finding the Fourth Proportional to 891.62, 1,337.60 and 314.90

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Solution

The fourth proportional to 891.62, 1,337.60 and 314.90 is: 472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.62 : 1,337.60 = 314.90 : x
  2. Step 2: Convert to fraction form
    891.62/1,337.60 = 314.90/x
  3. Step 3: Cross multiply
    891.62x = 1,337.60 × 314.90
  4. Step 4: Simplify right side
    891.62x = 421,204.34
  5. Step 5: Solve for x
    x = 421,204.34/891.62
  6. Step 6: Final answer
    x = 472.41

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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.