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Finding the Fourth Proportional to 547.74, 822.15 and 325.62

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Solution

The fourth proportional to 547.74, 822.15 and 325.62 is: 488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.74 : 822.15 = 325.62 : x
  2. Step 2: Convert to fraction form
    547.74/822.15 = 325.62/x
  3. Step 3: Cross multiply
    547.74x = 822.15 × 325.62
  4. Step 4: Simplify right side
    547.74x = 267,708.48
  5. Step 5: Solve for x
    x = 267,708.48/547.74
  6. Step 6: Final answer
    x = 488.75

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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.