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Finding the Fourth Proportional to 316.23, 475.14 and 311.13

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Solution

The fourth proportional to 316.23, 475.14 and 311.13 is: 467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.23 : 475.14 = 311.13 : x
  2. Step 2: Convert to fraction form
    316.23/475.14 = 311.13/x
  3. Step 3: Cross multiply
    316.23x = 475.14 × 311.13
  4. Step 4: Simplify right side
    316.23x = 147,830.31
  5. Step 5: Solve for x
    x = 147,830.31/316.23
  6. Step 6: Final answer
    x = 467.48

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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.