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Finding the Fourth Proportional to 477.46, 716.22 and 199.84

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Solution

The fourth proportional to 477.46, 716.22 and 199.84 is: 299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.46 : 716.22 = 199.84 : x
  2. Step 2: Convert to fraction form
    477.46/716.22 = 199.84/x
  3. Step 3: Cross multiply
    477.46x = 716.22 × 199.84
  4. Step 4: Simplify right side
    477.46x = 143,129.55
  5. Step 5: Solve for x
    x = 143,129.55/477.46
  6. Step 6: Final answer
    x = 299.77

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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.