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Finding the Fourth Proportional to 317.28, 474 and 315.48

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Solution

The fourth proportional to 317.28, 474 and 315.48 is: 471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.28 : 474 = 315.48 : x
  2. Step 2: Convert to fraction form
    317.28/474 = 315.48/x
  3. Step 3: Cross multiply
    317.28x = 474 × 315.48
  4. Step 4: Simplify right side
    317.28x = 149,537.52
  5. Step 5: Solve for x
    x = 149,537.52/317.28
  6. Step 6: Final answer
    x = 471.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.