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Finding the Fourth Proportional to 587.30, 879.51 and 394.34

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Solution

The fourth proportional to 587.30, 879.51 and 394.34 is: 590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.30 : 879.51 = 394.34 : x
  2. Step 2: Convert to fraction form
    587.30/879.51 = 394.34/x
  3. Step 3: Cross multiply
    587.30x = 879.51 × 394.34
  4. Step 4: Simplify right side
    587.30x = 346,825.97
  5. Step 5: Solve for x
    x = 346,825.97/587.30
  6. Step 6: Final answer
    x = 590.54

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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.