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Finding the Fourth Proportional to 379.18, 564.80 and 365.80

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Solution

The fourth proportional to 379.18, 564.80 and 365.80 is: 544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.18 : 564.80 = 365.80 : x
  2. Step 2: Convert to fraction form
    379.18/564.80 = 365.80/x
  3. Step 3: Cross multiply
    379.18x = 564.80 × 365.80
  4. Step 4: Simplify right side
    379.18x = 206,603.84
  5. Step 5: Solve for x
    x = 206,603.84/379.18
  6. Step 6: Final answer
    x = 544.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.