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Finding the Fourth Proportional to 314.80, 471.96 and 282.64

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Solution

The fourth proportional to 314.80, 471.96 and 282.64 is: 423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.80 : 471.96 = 282.64 : x
  2. Step 2: Convert to fraction form
    314.80/471.96 = 282.64/x
  3. Step 3: Cross multiply
    314.80x = 471.96 × 282.64
  4. Step 4: Simplify right side
    314.80x = 133,394.77
  5. Step 5: Solve for x
    x = 133,394.77/314.80
  6. Step 6: Final answer
    x = 423.74

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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.