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Finding the Fourth Proportional to 317.96, 438.31 and 273.50

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Solution

The fourth proportional to 317.96, 438.31 and 273.50 is: 377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.96 : 438.31 = 273.50 : x
  2. Step 2: Convert to fraction form
    317.96/438.31 = 273.50/x
  3. Step 3: Cross multiply
    317.96x = 438.31 × 273.50
  4. Step 4: Simplify right side
    317.96x = 119,874.91
  5. Step 5: Solve for x
    x = 119,874.91/317.96
  6. Step 6: Final answer
    x = 377.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.