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Finding the Fourth Proportional to 711.06, 981.28 and 416.34

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Solution

The fourth proportional to 711.06, 981.28 and 416.34 is: 574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.06 : 981.28 = 416.34 : x
  2. Step 2: Convert to fraction form
    711.06/981.28 = 416.34/x
  3. Step 3: Cross multiply
    711.06x = 981.28 × 416.34
  4. Step 4: Simplify right side
    711.06x = 408,546.12
  5. Step 5: Solve for x
    x = 408,546.12/711.06
  6. Step 6: Final answer
    x = 574.56

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Why These Related Problems?

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