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Finding the Fourth Proportional to 587.50, 879.95 and 381.44

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Solution

The fourth proportional to 587.50, 879.95 and 381.44 is: 571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.50 : 879.95 = 381.44 : x
  2. Step 2: Convert to fraction form
    587.50/879.95 = 381.44/x
  3. Step 3: Cross multiply
    587.50x = 879.95 × 381.44
  4. Step 4: Simplify right side
    587.50x = 335,648.13
  5. Step 5: Solve for x
    x = 335,648.13/587.50
  6. Step 6: Final answer
    x = 571.32

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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.