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Finding the Fourth Proportional to 438.83, 658.65 and 233.57

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Solution

The fourth proportional to 438.83, 658.65 and 233.57 is: 350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.83 : 658.65 = 233.57 : x
  2. Step 2: Convert to fraction form
    438.83/658.65 = 233.57/x
  3. Step 3: Cross multiply
    438.83x = 658.65 × 233.57
  4. Step 4: Simplify right side
    438.83x = 153,842.77
  5. Step 5: Solve for x
    x = 153,842.77/438.83
  6. Step 6: Final answer
    x = 350.57

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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.