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Finding the Fourth Proportional to 678.31, 936.08 and 416.17

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Solution

The fourth proportional to 678.31, 936.08 and 416.17 is: 574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.31 : 936.08 = 416.17 : x
  2. Step 2: Convert to fraction form
    678.31/936.08 = 416.17/x
  3. Step 3: Cross multiply
    678.31x = 936.08 × 416.17
  4. Step 4: Simplify right side
    678.31x = 389,568.41
  5. Step 5: Solve for x
    x = 389,568.41/678.31
  6. Step 6: Final answer
    x = 574.32

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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.