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Finding the Fourth Proportional to 314.08, 471.06 and 82.96

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Solution

The fourth proportional to 314.08, 471.06 and 82.96 is: 124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.08 : 471.06 = 82.96 : x
  2. Step 2: Convert to fraction form
    314.08/471.06 = 82.96/x
  3. Step 3: Cross multiply
    314.08x = 471.06 × 82.96
  4. Step 4: Simplify right side
    314.08x = 39,077.96
  5. Step 5: Solve for x
    x = 39,077.96/314.08
  6. Step 6: Final answer
    x = 124.42

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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.