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Finding the Fourth Proportional to 585.33, 877.89 and 200.58

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Solution

The fourth proportional to 585.33, 877.89 and 200.58 is: 300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.33 : 877.89 = 200.58 : x
  2. Step 2: Convert to fraction form
    585.33/877.89 = 200.58/x
  3. Step 3: Cross multiply
    585.33x = 877.89 × 200.58
  4. Step 4: Simplify right side
    585.33x = 176,087.18
  5. Step 5: Solve for x
    x = 176,087.18/585.33
  6. Step 6: Final answer
    x = 300.83

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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.