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Finding the Fourth Proportional to 552.16, 827.70 and 369.64

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Solution

The fourth proportional to 552.16, 827.70 and 369.64 is: 554.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.16 : 827.70 = 369.64 : x
  2. Step 2: Convert to fraction form
    552.16/827.70 = 369.64/x
  3. Step 3: Cross multiply
    552.16x = 827.70 × 369.64
  4. Step 4: Simplify right side
    552.16x = 305,951.03
  5. Step 5: Solve for x
    x = 305,951.03/552.16
  6. Step 6: Final answer
    x = 554.10

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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.