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Finding the Fourth Proportional to 565.24, 847.68 and 200.02

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Solution

The fourth proportional to 565.24, 847.68 and 200.02 is: 299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.24 : 847.68 = 200.02 : x
  2. Step 2: Convert to fraction form
    565.24/847.68 = 200.02/x
  3. Step 3: Cross multiply
    565.24x = 847.68 × 200.02
  4. Step 4: Simplify right side
    565.24x = 169,552.95
  5. Step 5: Solve for x
    x = 169,552.95/565.24
  6. Step 6: Final answer
    x = 299.97

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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.