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Finding the Fourth Proportional to 588.15, 881.82 and 263.88

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Solution

The fourth proportional to 588.15, 881.82 and 263.88 is: 395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.15 : 881.82 = 263.88 : x
  2. Step 2: Convert to fraction form
    588.15/881.82 = 263.88/x
  3. Step 3: Cross multiply
    588.15x = 881.82 × 263.88
  4. Step 4: Simplify right side
    588.15x = 232,694.66
  5. Step 5: Solve for x
    x = 232,694.66/588.15
  6. Step 6: Final answer
    x = 395.64

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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.