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Finding the Fourth Proportional to 547.78, 822 and 259.24

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Solution

The fourth proportional to 547.78, 822 and 259.24 is: 389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.78 : 822 = 259.24 : x
  2. Step 2: Convert to fraction form
    547.78/822 = 259.24/x
  3. Step 3: Cross multiply
    547.78x = 822 × 259.24
  4. Step 4: Simplify right side
    547.78x = 213,095.28
  5. Step 5: Solve for x
    x = 213,095.28/547.78
  6. Step 6: Final answer
    x = 389.02

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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.