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Finding the Fourth Proportional to 314.78, 471.24 and 238.06

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Solution

The fourth proportional to 314.78, 471.24 and 238.06 is: 356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.78 : 471.24 = 238.06 : x
  2. Step 2: Convert to fraction form
    314.78/471.24 = 238.06/x
  3. Step 3: Cross multiply
    314.78x = 471.24 × 238.06
  4. Step 4: Simplify right side
    314.78x = 112,183.39
  5. Step 5: Solve for x
    x = 112,183.39/314.78
  6. Step 6: Final answer
    x = 356.39

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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.