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Finding the Fourth Proportional to 565.82, 848.76 and 200.78

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Solution

The fourth proportional to 565.82, 848.76 and 200.78 is: 301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.82 : 848.76 = 200.78 : x
  2. Step 2: Convert to fraction form
    565.82/848.76 = 200.78/x
  3. Step 3: Cross multiply
    565.82x = 848.76 × 200.78
  4. Step 4: Simplify right side
    565.82x = 170,414.03
  5. Step 5: Solve for x
    x = 170,414.03/565.82
  6. Step 6: Final answer
    x = 301.18

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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.