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Finding the Fourth Proportional to 375.78, 564.07 and 277.97

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Solution

The fourth proportional to 375.78, 564.07 and 277.97 is: 417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.78 : 564.07 = 277.97 : x
  2. Step 2: Convert to fraction form
    375.78/564.07 = 277.97/x
  3. Step 3: Cross multiply
    375.78x = 564.07 × 277.97
  4. Step 4: Simplify right side
    375.78x = 156,794.54
  5. Step 5: Solve for x
    x = 156,794.54/375.78
  6. Step 6: Final answer
    x = 417.25

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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.