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Finding the Fourth Proportional to 325.68, 488.70 and 233.19

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Solution

The fourth proportional to 325.68, 488.70 and 233.19 is: 349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.68 : 488.70 = 233.19 : x
  2. Step 2: Convert to fraction form
    325.68/488.70 = 233.19/x
  3. Step 3: Cross multiply
    325.68x = 488.70 × 233.19
  4. Step 4: Simplify right side
    325.68x = 113,959.95
  5. Step 5: Solve for x
    x = 113,959.95/325.68
  6. Step 6: Final answer
    x = 349.91

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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.