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Finding the Fourth Proportional to 316.87, 474.70 and 265.84

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Solution

The fourth proportional to 316.87, 474.70 and 265.84 is: 398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.87 : 474.70 = 265.84 : x
  2. Step 2: Convert to fraction form
    316.87/474.70 = 265.84/x
  3. Step 3: Cross multiply
    316.87x = 474.70 × 265.84
  4. Step 4: Simplify right side
    316.87x = 126,194.25
  5. Step 5: Solve for x
    x = 126,194.25/316.87
  6. Step 6: Final answer
    x = 398.25

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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.