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Finding the Fourth Proportional to 316.65, 474.07 and 251.74

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Solution

The fourth proportional to 316.65, 474.07 and 251.74 is: 376.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.65 : 474.07 = 251.74 : x
  2. Step 2: Convert to fraction form
    316.65/474.07 = 251.74/x
  3. Step 3: Cross multiply
    316.65x = 474.07 × 251.74
  4. Step 4: Simplify right side
    316.65x = 119,340.57
  5. Step 5: Solve for x
    x = 119,340.57/316.65
  6. Step 6: Final answer
    x = 376.88

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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.