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Finding the Fourth Proportional to 317.32, 475.42 and 282.92

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Solution

The fourth proportional to 317.32, 475.42 and 282.92 is: 423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.32 : 475.42 = 282.92 : x
  2. Step 2: Convert to fraction form
    317.32/475.42 = 282.92/x
  3. Step 3: Cross multiply
    317.32x = 475.42 × 282.92
  4. Step 4: Simplify right side
    317.32x = 134,502.03
  5. Step 5: Solve for x
    x = 134,502.03/317.32
  6. Step 6: Final answer
    x = 423.88

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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.