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Finding the Fourth Proportional to 711.36, 981.69 and 416.61

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Solution

The fourth proportional to 711.36, 981.69 and 416.61 is: 574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.36 : 981.69 = 416.61 : x
  2. Step 2: Convert to fraction form
    711.36/981.69 = 416.61/x
  3. Step 3: Cross multiply
    711.36x = 981.69 × 416.61
  4. Step 4: Simplify right side
    711.36x = 408,981.87
  5. Step 5: Solve for x
    x = 408,981.87/711.36
  6. Step 6: Final answer
    x = 574.93

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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.