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Finding the Fourth Proportional to 678.19, 935.97 and 416.05

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Solution

The fourth proportional to 678.19, 935.97 and 416.05 is: 574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.19 : 935.97 = 416.05 : x
  2. Step 2: Convert to fraction form
    678.19/935.97 = 416.05/x
  3. Step 3: Cross multiply
    678.19x = 935.97 × 416.05
  4. Step 4: Simplify right side
    678.19x = 389,410.32
  5. Step 5: Solve for x
    x = 389,410.32/678.19
  6. Step 6: Final answer
    x = 574.19

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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.