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Finding the Fourth Proportional to 549.89, 819.45 and 534.86

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Solution

The fourth proportional to 549.89, 819.45 and 534.86 is: 797.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.89 : 819.45 = 534.86 : x
  2. Step 2: Convert to fraction form
    549.89/819.45 = 534.86/x
  3. Step 3: Cross multiply
    549.89x = 819.45 × 534.86
  4. Step 4: Simplify right side
    549.89x = 438,284.26
  5. Step 5: Solve for x
    x = 438,284.26/549.89
  6. Step 6: Final answer
    x = 797.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.