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Finding the Fourth Proportional to 402.84, 604.08 and 146.34

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Solution

The fourth proportional to 402.84, 604.08 and 146.34 is: 219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.84 : 604.08 = 146.34 : x
  2. Step 2: Convert to fraction form
    402.84/604.08 = 146.34/x
  3. Step 3: Cross multiply
    402.84x = 604.08 × 146.34
  4. Step 4: Simplify right side
    402.84x = 88,401.07
  5. Step 5: Solve for x
    x = 88,401.07/402.84
  6. Step 6: Final answer
    x = 219.44

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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.