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Finding the Fourth Proportional to 438.45, 657.36 and 232.74

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Solution

The fourth proportional to 438.45, 657.36 and 232.74 is: 348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.45 : 657.36 = 232.74 : x
  2. Step 2: Convert to fraction form
    438.45/657.36 = 232.74/x
  3. Step 3: Cross multiply
    438.45x = 657.36 × 232.74
  4. Step 4: Simplify right side
    438.45x = 152,993.97
  5. Step 5: Solve for x
    x = 152,993.97/438.45
  6. Step 6: Final answer
    x = 348.94

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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.