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Finding the Fourth Proportional to 349.31, 524.39 and 232.28

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Solution

The fourth proportional to 349.31, 524.39 and 232.28 is: 348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.31 : 524.39 = 232.28 : x
  2. Step 2: Convert to fraction form
    349.31/524.39 = 232.28/x
  3. Step 3: Cross multiply
    349.31x = 524.39 × 232.28
  4. Step 4: Simplify right side
    349.31x = 121,803.49
  5. Step 5: Solve for x
    x = 121,803.49/349.31
  6. Step 6: Final answer
    x = 348.69

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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.