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Finding the Fourth Proportional to 548.32, 820.74 and 541

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Solution

The fourth proportional to 548.32, 820.74 and 541 is: 809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.32 : 820.74 = 541 : x
  2. Step 2: Convert to fraction form
    548.32/820.74 = 541/x
  3. Step 3: Cross multiply
    548.32x = 820.74 × 541
  4. Step 4: Simplify right side
    548.32x = 444,020.34
  5. Step 5: Solve for x
    x = 444,020.34/548.32
  6. Step 6: Final answer
    x = 809.78

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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.