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Finding the Fourth Proportional to 317.26, 474.63 and 282.62

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Solution

The fourth proportional to 317.26, 474.63 and 282.62 is: 422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.26 : 474.63 = 282.62 : x
  2. Step 2: Convert to fraction form
    317.26/474.63 = 282.62/x
  3. Step 3: Cross multiply
    317.26x = 474.63 × 282.62
  4. Step 4: Simplify right side
    317.26x = 134,139.93
  5. Step 5: Solve for x
    x = 134,139.93/317.26
  6. Step 6: Final answer
    x = 422.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.