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Finding the Fourth Proportional to 678.09, 935.42 and 412.41

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Solution

The fourth proportional to 678.09, 935.42 and 412.41 is: 568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.09 : 935.42 = 412.41 : x
  2. Step 2: Convert to fraction form
    678.09/935.42 = 412.41/x
  3. Step 3: Cross multiply
    678.09x = 935.42 × 412.41
  4. Step 4: Simplify right side
    678.09x = 385,778.01
  5. Step 5: Solve for x
    x = 385,778.01/678.09
  6. Step 6: Final answer
    x = 568.92

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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.