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Finding the Fourth Proportional to 400.08, 547.71 and 397.38

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Solution

The fourth proportional to 400.08, 547.71 and 397.38 is: 544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.08 : 547.71 = 397.38 : x
  2. Step 2: Convert to fraction form
    400.08/547.71 = 397.38/x
  3. Step 3: Cross multiply
    400.08x = 547.71 × 397.38
  4. Step 4: Simplify right side
    400.08x = 217,649.00
  5. Step 5: Solve for x
    x = 217,649.00/400.08
  6. Step 6: Final answer
    x = 544.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.