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Finding the Fourth Proportional to 402.84, 604.20 and 183.42

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Solution

The fourth proportional to 402.84, 604.20 and 183.42 is: 275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.84 : 604.20 = 183.42 : x
  2. Step 2: Convert to fraction form
    402.84/604.20 = 183.42/x
  3. Step 3: Cross multiply
    402.84x = 604.20 × 183.42
  4. Step 4: Simplify right side
    402.84x = 110,822.36
  5. Step 5: Solve for x
    x = 110,822.36/402.84
  6. Step 6: Final answer
    x = 275.10

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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.