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Finding the Fourth Proportional to 710.97, 981.36 and 416.13

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Solution

The fourth proportional to 710.97, 981.36 and 416.13 is: 574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.97 : 981.36 = 416.13 : x
  2. Step 2: Convert to fraction form
    710.97/981.36 = 416.13/x
  3. Step 3: Cross multiply
    710.97x = 981.36 × 416.13
  4. Step 4: Simplify right side
    710.97x = 408,373.34
  5. Step 5: Solve for x
    x = 408,373.34/710.97
  6. Step 6: Final answer
    x = 574.39

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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.