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Finding the Fourth Proportional to 711.18, 981.51 and 416.44

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Solution

The fourth proportional to 711.18, 981.51 and 416.44 is: 574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.18 : 981.51 = 416.44 : x
  2. Step 2: Convert to fraction form
    711.18/981.51 = 416.44/x
  3. Step 3: Cross multiply
    711.18x = 981.51 × 416.44
  4. Step 4: Simplify right side
    711.18x = 408,735.12
  5. Step 5: Solve for x
    x = 408,735.12/711.18
  6. Step 6: Final answer
    x = 574.73

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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.