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Finding the Fourth Proportional to 317.14, 474.74 and 286.15

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Solution

The fourth proportional to 317.14, 474.74 and 286.15 is: 428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.14 : 474.74 = 286.15 : x
  2. Step 2: Convert to fraction form
    317.14/474.74 = 286.15/x
  3. Step 3: Cross multiply
    317.14x = 474.74 × 286.15
  4. Step 4: Simplify right side
    317.14x = 135,846.85
  5. Step 5: Solve for x
    x = 135,846.85/317.14
  6. Step 6: Final answer
    x = 428.35

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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.