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Finding the Fourth Proportional to 552.34, 829.11 and 292.66

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Solution

The fourth proportional to 552.34, 829.11 and 292.66 is: 439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.34 : 829.11 = 292.66 : x
  2. Step 2: Convert to fraction form
    552.34/829.11 = 292.66/x
  3. Step 3: Cross multiply
    552.34x = 829.11 × 292.66
  4. Step 4: Simplify right side
    552.34x = 242,647.33
  5. Step 5: Solve for x
    x = 242,647.33/552.34
  6. Step 6: Final answer
    x = 439.31

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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.