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Finding the Fourth Proportional to 710.88, 981.09 and 416.22

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Solution

The fourth proportional to 710.88, 981.09 and 416.22 is: 574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.88 : 981.09 = 416.22 : x
  2. Step 2: Convert to fraction form
    710.88/981.09 = 416.22/x
  3. Step 3: Cross multiply
    710.88x = 981.09 × 416.22
  4. Step 4: Simplify right side
    710.88x = 408,349.28
  5. Step 5: Solve for x
    x = 408,349.28/710.88
  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.