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Finding the Fourth Proportional to 711.56, 981.71 and 416.72

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Solution

The fourth proportional to 711.56, 981.71 and 416.72 is: 574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.56 : 981.71 = 416.72 : x
  2. Step 2: Convert to fraction form
    711.56/981.71 = 416.72/x
  3. Step 3: Cross multiply
    711.56x = 981.71 × 416.72
  4. Step 4: Simplify right side
    711.56x = 409,093.28
  5. Step 5: Solve for x
    x = 409,093.28/711.56
  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.