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Finding the Fourth Proportional to 316.48, 474.70 and 214.42

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Solution

The fourth proportional to 316.48, 474.70 and 214.42 is: 321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.48 : 474.70 = 214.42 : x
  2. Step 2: Convert to fraction form
    316.48/474.70 = 214.42/x
  3. Step 3: Cross multiply
    316.48x = 474.70 × 214.42
  4. Step 4: Simplify right side
    316.48x = 101,785.17
  5. Step 5: Solve for x
    x = 101,785.17/316.48
  6. Step 6: Final answer
    x = 321.62

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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.