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Finding the Fourth Proportional to 588.23, 881.59 and 440.83

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Solution

The fourth proportional to 588.23, 881.59 and 440.83 is: 660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.23 : 881.59 = 440.83 : x
  2. Step 2: Convert to fraction form
    588.23/881.59 = 440.83/x
  3. Step 3: Cross multiply
    588.23x = 881.59 × 440.83
  4. Step 4: Simplify right side
    588.23x = 388,632.15
  5. Step 5: Solve for x
    x = 388,632.15/588.23
  6. Step 6: Final answer
    x = 660.68

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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.