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Finding the Fourth Proportional to 317.49, 476.08 and 180.29

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Solution

The fourth proportional to 317.49, 476.08 and 180.29 is: 270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.49 : 476.08 = 180.29 : x
  2. Step 2: Convert to fraction form
    317.49/476.08 = 180.29/x
  3. Step 3: Cross multiply
    317.49x = 476.08 × 180.29
  4. Step 4: Simplify right side
    317.49x = 85,833.20
  5. Step 5: Solve for x
    x = 85,833.20/317.49
  6. Step 6: Final answer
    x = 270.35

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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.