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Finding the Fourth Proportional to 316.71, 474.12 and 213.77

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Solution

The fourth proportional to 316.71, 474.12 and 213.77 is: 320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.71 : 474.12 = 213.77 : x
  2. Step 2: Convert to fraction form
    316.71/474.12 = 213.77/x
  3. Step 3: Cross multiply
    316.71x = 474.12 × 213.77
  4. Step 4: Simplify right side
    316.71x = 101,353.82
  5. Step 5: Solve for x
    x = 101,353.82/316.71
  6. Step 6: Final answer
    x = 320.02

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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.