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Finding the Fourth Proportional to 588.09, 880.46 and 395.37

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Solution

The fourth proportional to 588.09, 880.46 and 395.37 is: 591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.09 : 880.46 = 395.37 : x
  2. Step 2: Convert to fraction form
    588.09/880.46 = 395.37/x
  3. Step 3: Cross multiply
    588.09x = 880.46 × 395.37
  4. Step 4: Simplify right side
    588.09x = 348,105.49
  5. Step 5: Solve for x
    x = 348,105.49/588.09
  6. Step 6: Final answer
    x = 591.93

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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.