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Finding the Fourth Proportional to 476.10, 713.66 and 201.96

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Solution

The fourth proportional to 476.10, 713.66 and 201.96 is: 302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.10 : 713.66 = 201.96 : x
  2. Step 2: Convert to fraction form
    476.10/713.66 = 201.96/x
  3. Step 3: Cross multiply
    476.10x = 713.66 × 201.96
  4. Step 4: Simplify right side
    476.10x = 144,129.76
  5. Step 5: Solve for x
    x = 144,129.76/476.10
  6. Step 6: Final answer
    x = 302.73

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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.