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Finding the Fourth Proportional to 391.30, 585.82 and 259.68

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Solution

The fourth proportional to 391.30, 585.82 and 259.68 is: 388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.30 : 585.82 = 259.68 : x
  2. Step 2: Convert to fraction form
    391.30/585.82 = 259.68/x
  3. Step 3: Cross multiply
    391.30x = 585.82 × 259.68
  4. Step 4: Simplify right side
    391.30x = 152,125.74
  5. Step 5: Solve for x
    x = 152,125.74/391.30
  6. Step 6: Final answer
    x = 388.77

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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.