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Finding the Fourth Proportional to 585.60, 879.16 and 391.84

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Solution

The fourth proportional to 585.60, 879.16 and 391.84 is: 588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.60 : 879.16 = 391.84 : x
  2. Step 2: Convert to fraction form
    585.60/879.16 = 391.84/x
  3. Step 3: Cross multiply
    585.60x = 879.16 × 391.84
  4. Step 4: Simplify right side
    585.60x = 344,490.05
  5. Step 5: Solve for x
    x = 344,490.05/585.60
  6. Step 6: Final answer
    x = 588.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.