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Finding the Fourth Proportional to 395.58, 592.57 and 232.88

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Solution

The fourth proportional to 395.58, 592.57 and 232.88 is: 348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.58 : 592.57 = 232.88 : x
  2. Step 2: Convert to fraction form
    395.58/592.57 = 232.88/x
  3. Step 3: Cross multiply
    395.58x = 592.57 × 232.88
  4. Step 4: Simplify right side
    395.58x = 137,993.72
  5. Step 5: Solve for x
    x = 137,993.72/395.58
  6. Step 6: Final answer
    x = 348.84

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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.