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Finding the Fourth Proportional to 710.97, 981.12 and 416.28

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Solution

The fourth proportional to 710.97, 981.12 and 416.28 is: 574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.97 : 981.12 = 416.28 : x
  2. Step 2: Convert to fraction form
    710.97/981.12 = 416.28/x
  3. Step 3: Cross multiply
    710.97x = 981.12 × 416.28
  4. Step 4: Simplify right side
    710.97x = 408,420.63
  5. Step 5: Solve for x
    x = 408,420.63/710.97
  6. Step 6: Final answer
    x = 574.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.