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Finding the Fourth Proportional to 549.92, 820.18 and 541.46

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Solution

The fourth proportional to 549.92, 820.18 and 541.46 is: 807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.92 : 820.18 = 541.46 : x
  2. Step 2: Convert to fraction form
    549.92/820.18 = 541.46/x
  3. Step 3: Cross multiply
    549.92x = 820.18 × 541.46
  4. Step 4: Simplify right side
    549.92x = 444,094.66
  5. Step 5: Solve for x
    x = 444,094.66/549.92
  6. Step 6: Final answer
    x = 807.56

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