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Finding the Fourth Proportional to 314.52, 434.09 and 232.05

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Solution

The fourth proportional to 314.52, 434.09 and 232.05 is: 320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.52 : 434.09 = 232.05 : x
  2. Step 2: Convert to fraction form
    314.52/434.09 = 232.05/x
  3. Step 3: Cross multiply
    314.52x = 434.09 × 232.05
  4. Step 4: Simplify right side
    314.52x = 100,729.42
  5. Step 5: Solve for x
    x = 100,729.42/314.52
  6. Step 6: Final answer
    x = 320.26

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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.