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Finding the Fourth Proportional to 400.26, 552.45 and 252.93

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Solution

The fourth proportional to 400.26, 552.45 and 252.93 is: 349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.26 : 552.45 = 252.93 : x
  2. Step 2: Convert to fraction form
    400.26/552.45 = 252.93/x
  3. Step 3: Cross multiply
    400.26x = 552.45 × 252.93
  4. Step 4: Simplify right side
    400.26x = 139,731.18
  5. Step 5: Solve for x
    x = 139,731.18/400.26
  6. Step 6: Final answer
    x = 349.10

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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.