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Finding the Fourth Proportional to 588.01, 885.52 and 426.82

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Solution

The fourth proportional to 588.01, 885.52 and 426.82 is: 642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.01 : 885.52 = 426.82 : x
  2. Step 2: Convert to fraction form
    588.01/885.52 = 426.82/x
  3. Step 3: Cross multiply
    588.01x = 885.52 × 426.82
  4. Step 4: Simplify right side
    588.01x = 377,957.65
  5. Step 5: Solve for x
    x = 377,957.65/588.01
  6. Step 6: Final answer
    x = 642.77

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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.