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Finding the Fourth Proportional to 559.28, 837.12 and 314.96

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Solution

The fourth proportional to 559.28, 837.12 and 314.96 is: 471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.28 : 837.12 = 314.96 : x
  2. Step 2: Convert to fraction form
    559.28/837.12 = 314.96/x
  3. Step 3: Cross multiply
    559.28x = 837.12 × 314.96
  4. Step 4: Simplify right side
    559.28x = 263,659.32
  5. Step 5: Solve for x
    x = 263,659.32/559.28
  6. Step 6: Final answer
    x = 471.43

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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.