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Finding the Fourth Proportional to 402.65, 604.14 and 194.32

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Solution

The fourth proportional to 402.65, 604.14 and 194.32 is: 291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.65 : 604.14 = 194.32 : x
  2. Step 2: Convert to fraction form
    402.65/604.14 = 194.32/x
  3. Step 3: Cross multiply
    402.65x = 604.14 × 194.32
  4. Step 4: Simplify right side
    402.65x = 117,394.97
  5. Step 5: Solve for x
    x = 117,394.97/402.65
  6. Step 6: Final answer
    x = 291.56

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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.