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Finding the Fourth Proportional to 315.09, 473.31 and 247.41

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Solution

The fourth proportional to 315.09, 473.31 and 247.41 is: 371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.09 : 473.31 = 247.41 : x
  2. Step 2: Convert to fraction form
    315.09/473.31 = 247.41/x
  3. Step 3: Cross multiply
    315.09x = 473.31 × 247.41
  4. Step 4: Simplify right side
    315.09x = 117,101.63
  5. Step 5: Solve for x
    x = 117,101.63/315.09
  6. Step 6: Final answer
    x = 371.65

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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.