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Finding the Fourth Proportional to 590.76, 886.18 and 200.83

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Solution

The fourth proportional to 590.76, 886.18 and 200.83 is: 301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.76 : 886.18 = 200.83 : x
  2. Step 2: Convert to fraction form
    590.76/886.18 = 200.83/x
  3. Step 3: Cross multiply
    590.76x = 886.18 × 200.83
  4. Step 4: Simplify right side
    590.76x = 177,967.10
  5. Step 5: Solve for x
    x = 177,967.10/590.76
  6. Step 6: Final answer
    x = 301.25

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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.