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Finding the Fourth Proportional to 400.16, 552.28 and 252.86

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Solution

The fourth proportional to 400.16, 552.28 and 252.86 is: 348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.16 : 552.28 = 252.86 : x
  2. Step 2: Convert to fraction form
    400.16/552.28 = 252.86/x
  3. Step 3: Cross multiply
    400.16x = 552.28 × 252.86
  4. Step 4: Simplify right side
    400.16x = 139,646.13
  5. Step 5: Solve for x
    x = 139,646.13/400.16
  6. Step 6: Final answer
    x = 348.98

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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.