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Finding the Fourth Proportional to 400.60, 548.57 and 400.60

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Solution

The fourth proportional to 400.60, 548.57 and 400.60 is: 548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.60 : 548.57 = 400.60 : x
  2. Step 2: Convert to fraction form
    400.60/548.57 = 400.60/x
  3. Step 3: Cross multiply
    400.60x = 548.57 × 400.60
  4. Step 4: Simplify right side
    400.60x = 219,757.14
  5. Step 5: Solve for x
    x = 219,757.14/400.60
  6. Step 6: Final answer
    x = 548.57

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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.