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Finding the Fourth Proportional to 400.26, 552.48 and 284.16

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Solution

The fourth proportional to 400.26, 552.48 and 284.16 is: 392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.26 : 552.48 = 284.16 : x
  2. Step 2: Convert to fraction form
    400.26/552.48 = 284.16/x
  3. Step 3: Cross multiply
    400.26x = 552.48 × 284.16
  4. Step 4: Simplify right side
    400.26x = 156,992.72
  5. Step 5: Solve for x
    x = 156,992.72/400.26
  6. Step 6: Final answer
    x = 392.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.