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Finding the Fourth Proportional to 317.54, 473.61 and 273.71

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Solution

The fourth proportional to 317.54, 473.61 and 273.71 is: 408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.54 : 473.61 = 273.71 : x
  2. Step 2: Convert to fraction form
    317.54/473.61 = 273.71/x
  3. Step 3: Cross multiply
    317.54x = 473.61 × 273.71
  4. Step 4: Simplify right side
    317.54x = 129,631.79
  5. Step 5: Solve for x
    x = 129,631.79/317.54
  6. Step 6: Final answer
    x = 408.24

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