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Finding the Fourth Proportional to 476.27, 713.87 and 202.52

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Solution

The fourth proportional to 476.27, 713.87 and 202.52 is: 303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.27 : 713.87 = 202.52 : x
  2. Step 2: Convert to fraction form
    476.27/713.87 = 202.52/x
  3. Step 3: Cross multiply
    476.27x = 713.87 × 202.52
  4. Step 4: Simplify right side
    476.27x = 144,568.37
  5. Step 5: Solve for x
    x = 144,568.37/476.27
  6. Step 6: Final answer
    x = 303.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.