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Finding the Fourth Proportional to 314.25, 471.11 and 280.08

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Solution

The fourth proportional to 314.25, 471.11 and 280.08 is: 419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.25 : 471.11 = 280.08 : x
  2. Step 2: Convert to fraction form
    314.25/471.11 = 280.08/x
  3. Step 3: Cross multiply
    314.25x = 471.11 × 280.08
  4. Step 4: Simplify right side
    314.25x = 131,948.49
  5. Step 5: Solve for x
    x = 131,948.49/314.25
  6. Step 6: Final answer
    x = 419.88

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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.