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Finding the Fourth Proportional to 548.02, 822.16 and 259.38

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Solution

The fourth proportional to 548.02, 822.16 and 259.38 is: 389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.02 : 822.16 = 259.38 : x
  2. Step 2: Convert to fraction form
    548.02/822.16 = 259.38/x
  3. Step 3: Cross multiply
    548.02x = 822.16 × 259.38
  4. Step 4: Simplify right side
    548.02x = 213,251.86
  5. Step 5: Solve for x
    x = 213,251.86/548.02
  6. Step 6: Final answer
    x = 389.13

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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.