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Finding the Fourth Proportional to 438.65, 658.39 and 195.38

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Solution

The fourth proportional to 438.65, 658.39 and 195.38 is: 293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.65 : 658.39 = 195.38 : x
  2. Step 2: Convert to fraction form
    438.65/658.39 = 195.38/x
  3. Step 3: Cross multiply
    438.65x = 658.39 × 195.38
  4. Step 4: Simplify right side
    438.65x = 128,636.24
  5. Step 5: Solve for x
    x = 128,636.24/438.65
  6. Step 6: Final answer
    x = 293.25

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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.