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Finding the Fourth Proportional to 317.32, 476.04 and 180.56

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Solution

The fourth proportional to 317.32, 476.04 and 180.56 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.32 : 476.04 = 180.56 : x
  2. Step 2: Convert to fraction form
    317.32/476.04 = 180.56/x
  3. Step 3: Cross multiply
    317.32x = 476.04 × 180.56
  4. Step 4: Simplify right side
    317.32x = 85,953.78
  5. Step 5: Solve for x
    x = 85,953.78/317.32
  6. Step 6: Final answer
    x = 270.87

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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.