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Finding the Fourth Proportional to 477.72, 716.10 and 204.02

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Solution

The fourth proportional to 477.72, 716.10 and 204.02 is: 305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.72 : 716.10 = 204.02 : x
  2. Step 2: Convert to fraction form
    477.72/716.10 = 204.02/x
  3. Step 3: Cross multiply
    477.72x = 716.10 × 204.02
  4. Step 4: Simplify right side
    477.72x = 146,098.72
  5. Step 5: Solve for x
    x = 146,098.72/477.72
  6. Step 6: Final answer
    x = 305.83

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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.