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Finding the Fourth Proportional to 678.33, 935.73 and 412.59

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Solution

The fourth proportional to 678.33, 935.73 and 412.59 is: 569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.33 : 935.73 = 412.59 : x
  2. Step 2: Convert to fraction form
    678.33/935.73 = 412.59/x
  3. Step 3: Cross multiply
    678.33x = 935.73 × 412.59
  4. Step 4: Simplify right side
    678.33x = 386,072.84
  5. Step 5: Solve for x
    x = 386,072.84/678.33
  6. Step 6: Final answer
    x = 569.15

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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.