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Finding the Fourth Proportional to 400.52, 600.24 and 278.48

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Solution

The fourth proportional to 400.52, 600.24 and 278.48 is: 417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.52 : 600.24 = 278.48 : x
  2. Step 2: Convert to fraction form
    400.52/600.24 = 278.48/x
  3. Step 3: Cross multiply
    400.52x = 600.24 × 278.48
  4. Step 4: Simplify right side
    400.52x = 167,154.84
  5. Step 5: Solve for x
    x = 167,154.84/400.52
  6. Step 6: Final answer
    x = 417.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.