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Finding the Fourth Proportional to 678.20, 935.46 and 416.22

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Solution

The fourth proportional to 678.20, 935.46 and 416.22 is: 574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.20 : 935.46 = 416.22 : x
  2. Step 2: Convert to fraction form
    678.20/935.46 = 416.22/x
  3. Step 3: Cross multiply
    678.20x = 935.46 × 416.22
  4. Step 4: Simplify right side
    678.20x = 389,357.16
  5. Step 5: Solve for x
    x = 389,357.16/678.20
  6. Step 6: Final answer
    x = 574.11

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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.