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Finding the Fourth Proportional to 317.78, 439.02 and 271.10

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Solution

The fourth proportional to 317.78, 439.02 and 271.10 is: 374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.78 : 439.02 = 271.10 : x
  2. Step 2: Convert to fraction form
    317.78/439.02 = 271.10/x
  3. Step 3: Cross multiply
    317.78x = 439.02 × 271.10
  4. Step 4: Simplify right side
    317.78x = 119,018.32
  5. Step 5: Solve for x
    x = 119,018.32/317.78
  6. Step 6: Final answer
    x = 374.53

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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.