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Finding the Fourth Proportional to 438.53, 657.05 and 232.79

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Solution

The fourth proportional to 438.53, 657.05 and 232.79 is: 348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.53 : 657.05 = 232.79 : x
  2. Step 2: Convert to fraction form
    438.53/657.05 = 232.79/x
  3. Step 3: Cross multiply
    438.53x = 657.05 × 232.79
  4. Step 4: Simplify right side
    438.53x = 152,950.22
  5. Step 5: Solve for x
    x = 152,950.22/438.53
  6. Step 6: Final answer
    x = 348.78

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Why These Related Problems?

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