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Finding the Fourth Proportional to 588.60, 884.26 and 369.90

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Solution

The fourth proportional to 588.60, 884.26 and 369.90 is: 555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.60 : 884.26 = 369.90 : x
  2. Step 2: Convert to fraction form
    588.60/884.26 = 369.90/x
  3. Step 3: Cross multiply
    588.60x = 884.26 × 369.90
  4. Step 4: Simplify right side
    588.60x = 327,087.77
  5. Step 5: Solve for x
    x = 327,087.77/588.60
  6. Step 6: Final answer
    x = 555.70

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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.