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Finding the Fourth Proportional to 891.45, 1,337.76 and 314.32

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Solution

The fourth proportional to 891.45, 1,337.76 and 314.32 is: 471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.45 : 1,337.76 = 314.32 : x
  2. Step 2: Convert to fraction form
    891.45/1,337.76 = 314.32/x
  3. Step 3: Cross multiply
    891.45x = 1,337.76 × 314.32
  4. Step 4: Simplify right side
    891.45x = 420,484.72
  5. Step 5: Solve for x
    x = 420,484.72/891.45
  6. Step 6: Final answer
    x = 471.69

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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.