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Finding the Fourth Proportional to 552.90, 764.10 and 442.20

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Solution

The fourth proportional to 552.90, 764.10 and 442.20 is: 611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.90 : 764.10 = 442.20 : x
  2. Step 2: Convert to fraction form
    552.90/764.10 = 442.20/x
  3. Step 3: Cross multiply
    552.90x = 764.10 × 442.20
  4. Step 4: Simplify right side
    552.90x = 337,885.02
  5. Step 5: Solve for x
    x = 337,885.02/552.90
  6. Step 6: Final answer
    x = 611.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.