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Finding the Fourth Proportional to 549.88, 825.42 and 495.40

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Solution

The fourth proportional to 549.88, 825.42 and 495.40 is: 743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.88 : 825.42 = 495.40 : x
  2. Step 2: Convert to fraction form
    549.88/825.42 = 495.40/x
  3. Step 3: Cross multiply
    549.88x = 825.42 × 495.40
  4. Step 4: Simplify right side
    549.88x = 408,913.07
  5. Step 5: Solve for x
    x = 408,913.07/549.88
  6. Step 6: Final answer
    x = 743.64

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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.