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Finding the Fourth Proportional to 402.85, 604.42 and 183.46

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Solution

The fourth proportional to 402.85, 604.42 and 183.46 is: 275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.85 : 604.42 = 183.46 : x
  2. Step 2: Convert to fraction form
    402.85/604.42 = 183.46/x
  3. Step 3: Cross multiply
    402.85x = 604.42 × 183.46
  4. Step 4: Simplify right side
    402.85x = 110,883.87
  5. Step 5: Solve for x
    x = 110,883.87/402.85
  6. Step 6: Final answer
    x = 275.25

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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.