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Finding the Fourth Proportional to 316.71, 475.47 and 315.09

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Solution

The fourth proportional to 316.71, 475.47 and 315.09 is: 473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.71 : 475.47 = 315.09 : x
  2. Step 2: Convert to fraction form
    316.71/475.47 = 315.09/x
  3. Step 3: Cross multiply
    316.71x = 475.47 × 315.09
  4. Step 4: Simplify right side
    316.71x = 149,815.84
  5. Step 5: Solve for x
    x = 149,815.84/316.71
  6. Step 6: Final answer
    x = 473.04

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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.