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Finding the Fourth Proportional to 316.17, 474.84 and 296.73

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Solution

The fourth proportional to 316.17, 474.84 and 296.73 is: 445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.17 : 474.84 = 296.73 : x
  2. Step 2: Convert to fraction form
    316.17/474.84 = 296.73/x
  3. Step 3: Cross multiply
    316.17x = 474.84 × 296.73
  4. Step 4: Simplify right side
    316.17x = 140,899.27
  5. Step 5: Solve for x
    x = 140,899.27/316.17
  6. Step 6: Final answer
    x = 445.64

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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.