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Finding the Fourth Proportional to 348.34, 521.82 and 232.44

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Solution

The fourth proportional to 348.34, 521.82 and 232.44 is: 348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.34 : 521.82 = 232.44 : x
  2. Step 2: Convert to fraction form
    348.34/521.82 = 232.44/x
  3. Step 3: Cross multiply
    348.34x = 521.82 × 232.44
  4. Step 4: Simplify right side
    348.34x = 121,291.84
  5. Step 5: Solve for x
    x = 121,291.84/348.34
  6. Step 6: Final answer
    x = 348.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.