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Finding the Fourth Proportional to 474.56, 711.62 and 200.51

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Solution

The fourth proportional to 474.56, 711.62 and 200.51 is: 300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.56 : 711.62 = 200.51 : x
  2. Step 2: Convert to fraction form
    474.56/711.62 = 200.51/x
  3. Step 3: Cross multiply
    474.56x = 711.62 × 200.51
  4. Step 4: Simplify right side
    474.56x = 142,683.37
  5. Step 5: Solve for x
    x = 142,683.37/474.56
  6. Step 6: Final answer
    x = 300.66

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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.