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Finding the Fourth Proportional to 402.95, 604.43 and 114.39

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Solution

The fourth proportional to 402.95, 604.43 and 114.39 is: 171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.95 : 604.43 = 114.39 : x
  2. Step 2: Convert to fraction form
    402.95/604.43 = 114.39/x
  3. Step 3: Cross multiply
    402.95x = 604.43 × 114.39
  4. Step 4: Simplify right side
    402.95x = 69,140.18
  5. Step 5: Solve for x
    x = 69,140.18/402.95
  6. Step 6: Final answer
    x = 171.59

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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.