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Finding the Fourth Proportional to 477.98, 716.34 and 204.02

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Solution

The fourth proportional to 477.98, 716.34 and 204.02 is: 305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.98 : 716.34 = 204.02 : x
  2. Step 2: Convert to fraction form
    477.98/716.34 = 204.02/x
  3. Step 3: Cross multiply
    477.98x = 716.34 × 204.02
  4. Step 4: Simplify right side
    477.98x = 146,147.69
  5. Step 5: Solve for x
    x = 146,147.69/477.98
  6. Step 6: Final answer
    x = 305.76

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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.