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Finding the Fourth Proportional to 588.53, 881.38 and 344.32

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Solution

The fourth proportional to 588.53, 881.38 and 344.32 is: 515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.53 : 881.38 = 344.32 : x
  2. Step 2: Convert to fraction form
    588.53/881.38 = 344.32/x
  3. Step 3: Cross multiply
    588.53x = 881.38 × 344.32
  4. Step 4: Simplify right side
    588.53x = 303,474.99
  5. Step 5: Solve for x
    x = 303,474.99/588.53
  6. Step 6: Final answer
    x = 515.65

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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.