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Finding the Fourth Proportional to 314.05, 471.07 and 82.96

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Solution

The fourth proportional to 314.05, 471.07 and 82.96 is: 124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.05 : 471.07 = 82.96 : x
  2. Step 2: Convert to fraction form
    314.05/471.07 = 82.96/x
  3. Step 3: Cross multiply
    314.05x = 471.07 × 82.96
  4. Step 4: Simplify right side
    314.05x = 39,079.13
  5. Step 5: Solve for x
    x = 39,079.13/314.05
  6. Step 6: Final answer
    x = 124.44

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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.