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Finding the Fourth Proportional to 547.38, 821.06 and 259.02

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Solution

The fourth proportional to 547.38, 821.06 and 259.02 is: 388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.38 : 821.06 = 259.02 : x
  2. Step 2: Convert to fraction form
    547.38/821.06 = 259.02/x
  3. Step 3: Cross multiply
    547.38x = 821.06 × 259.02
  4. Step 4: Simplify right side
    547.38x = 212,670.96
  5. Step 5: Solve for x
    x = 212,670.96/547.38
  6. Step 6: Final answer
    x = 388.53

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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.