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Finding the Fourth Proportional to 891.42, 1,337.15 and 314.30

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Solution

The fourth proportional to 891.42, 1,337.15 and 314.30 is: 471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.42 : 1,337.15 = 314.30 : x
  2. Step 2: Convert to fraction form
    891.42/1,337.15 = 314.30/x
  3. Step 3: Cross multiply
    891.42x = 1,337.15 × 314.30
  4. Step 4: Simplify right side
    891.42x = 420,266.25
  5. Step 5: Solve for x
    x = 420,266.25/891.42
  6. Step 6: Final answer
    x = 471.46

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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.