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Finding the Fourth Proportional to 588.60, 883.31 and 585.77

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Solution

The fourth proportional to 588.60, 883.31 and 585.77 is: 879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.60 : 883.31 = 585.77 : x
  2. Step 2: Convert to fraction form
    588.60/883.31 = 585.77/x
  3. Step 3: Cross multiply
    588.60x = 883.31 × 585.77
  4. Step 4: Simplify right side
    588.60x = 517,409.15
  5. Step 5: Solve for x
    x = 517,409.15/588.60
  6. Step 6: Final answer
    x = 879.05

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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.