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Finding the Fourth Proportional to 588.63, 881.73 and 344.42

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Solution

The fourth proportional to 588.63, 881.73 and 344.42 is: 515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.63 : 881.73 = 344.42 : x
  2. Step 2: Convert to fraction form
    588.63/881.73 = 344.42/x
  3. Step 3: Cross multiply
    588.63x = 881.73 × 344.42
  4. Step 4: Simplify right side
    588.63x = 303,681.04
  5. Step 5: Solve for x
    x = 303,681.04/588.63
  6. Step 6: Final answer
    x = 515.91

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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.