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Finding the Fourth Proportional to 711.21, 981.62 and 416.55

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Solution

The fourth proportional to 711.21, 981.62 and 416.55 is: 574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.21 : 981.62 = 416.55 : x
  2. Step 2: Convert to fraction form
    711.21/981.62 = 416.55/x
  3. Step 3: Cross multiply
    711.21x = 981.62 × 416.55
  4. Step 4: Simplify right side
    711.21x = 408,891.73
  5. Step 5: Solve for x
    x = 408,891.73/711.21
  6. Step 6: Final answer
    x = 574.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.