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Finding the Fourth Proportional to 316.17, 474.12 and 286.02

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Solution

The fourth proportional to 316.17, 474.12 and 286.02 is: 428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.17 : 474.12 = 286.02 : x
  2. Step 2: Convert to fraction form
    316.17/474.12 = 286.02/x
  3. Step 3: Cross multiply
    316.17x = 474.12 × 286.02
  4. Step 4: Simplify right side
    316.17x = 135,607.80
  5. Step 5: Solve for x
    x = 135,607.80/316.17
  6. Step 6: Final answer
    x = 428.91

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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.