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Finding the Fourth Proportional to 588.73, 880.92 and 357.79

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Solution

The fourth proportional to 588.73, 880.92 and 357.79 is: 535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.73 : 880.92 = 357.79 : x
  2. Step 2: Convert to fraction form
    588.73/880.92 = 357.79/x
  3. Step 3: Cross multiply
    588.73x = 880.92 × 357.79
  4. Step 4: Simplify right side
    588.73x = 315,184.37
  5. Step 5: Solve for x
    x = 315,184.37/588.73
  6. Step 6: Final answer
    x = 535.36

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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.