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Finding the Fourth Proportional to 548.16, 820.80 and 534.40

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Solution

The fourth proportional to 548.16, 820.80 and 534.40 is: 800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.16 : 820.80 = 534.40 : x
  2. Step 2: Convert to fraction form
    548.16/820.80 = 534.40/x
  3. Step 3: Cross multiply
    548.16x = 820.80 × 534.40
  4. Step 4: Simplify right side
    548.16x = 438,635.52
  5. Step 5: Solve for x
    x = 438,635.52/548.16
  6. Step 6: Final answer
    x = 800.20

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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.