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Finding the Fourth Proportional to 588.63, 888.27 and 584.08

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Solution

The fourth proportional to 588.63, 888.27 and 584.08 is: 881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.63 : 888.27 = 584.08 : x
  2. Step 2: Convert to fraction form
    588.63/888.27 = 584.08/x
  3. Step 3: Cross multiply
    588.63x = 888.27 × 584.08
  4. Step 4: Simplify right side
    588.63x = 518,816.33
  5. Step 5: Solve for x
    x = 518,816.33/588.63
  6. Step 6: Final answer
    x = 881.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.