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Finding the Fourth Proportional to 711.29, 981.35 and 416.35

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Solution

The fourth proportional to 711.29, 981.35 and 416.35 is: 574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.29 : 981.35 = 416.35 : x
  2. Step 2: Convert to fraction form
    711.29/981.35 = 416.35/x
  3. Step 3: Cross multiply
    711.29x = 981.35 × 416.35
  4. Step 4: Simplify right side
    711.29x = 408,585.78
  5. Step 5: Solve for x
    x = 408,585.78/711.29
  6. Step 6: Final answer
    x = 574.43

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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.