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Finding the Fourth Proportional to 438.49, 657.59 and 195.19

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Solution

The fourth proportional to 438.49, 657.59 and 195.19 is: 292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.49 : 657.59 = 195.19 : x
  2. Step 2: Convert to fraction form
    438.49/657.59 = 195.19/x
  3. Step 3: Cross multiply
    438.49x = 657.59 × 195.19
  4. Step 4: Simplify right side
    438.49x = 128,350.73
  5. Step 5: Solve for x
    x = 128,350.73/438.49
  6. Step 6: Final answer
    x = 292.71

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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.