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Finding the Fourth Proportional to 564.95, 847.55 and 199.73

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Solution

The fourth proportional to 564.95, 847.55 and 199.73 is: 299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.95 : 847.55 = 199.73 : x
  2. Step 2: Convert to fraction form
    564.95/847.55 = 199.73/x
  3. Step 3: Cross multiply
    564.95x = 847.55 × 199.73
  4. Step 4: Simplify right side
    564.95x = 169,275.93
  5. Step 5: Solve for x
    x = 169,275.93/564.95
  6. Step 6: Final answer
    x = 299.63

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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.