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Finding the Fourth Proportional to 549.72, 825.36 and 523.28

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Solution

The fourth proportional to 549.72, 825.36 and 523.28 is: 785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.72 : 825.36 = 523.28 : x
  2. Step 2: Convert to fraction form
    549.72/825.36 = 523.28/x
  3. Step 3: Cross multiply
    549.72x = 825.36 × 523.28
  4. Step 4: Simplify right side
    549.72x = 431,894.38
  5. Step 5: Solve for x
    x = 431,894.38/549.72
  6. Step 6: Final answer
    x = 785.66

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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.