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Finding the Fourth Proportional to 585.98, 879.00 and 201.23

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Solution

The fourth proportional to 585.98, 879.00 and 201.23 is: 301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.98 : 879.00 = 201.23 : x
  2. Step 2: Convert to fraction form
    585.98/879.00 = 201.23/x
  3. Step 3: Cross multiply
    585.98x = 879.00 × 201.23
  4. Step 4: Simplify right side
    585.98x = 176,885.39
  5. Step 5: Solve for x
    x = 176,885.39/585.98
  6. Step 6: Final answer
    x = 301.86

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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.