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Finding the Fourth Proportional to 587.25, 879.58 and 381.19

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Solution

The fourth proportional to 587.25, 879.58 and 381.19 is: 570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.25 : 879.58 = 381.19 : x
  2. Step 2: Convert to fraction form
    587.25/879.58 = 381.19/x
  3. Step 3: Cross multiply
    587.25x = 879.58 × 381.19
  4. Step 4: Simplify right side
    587.25x = 335,287.10
  5. Step 5: Solve for x
    x = 335,287.10/587.25
  6. Step 6: Final answer
    x = 570.94

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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.