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Finding the Fourth Proportional to 678, 935.52 and 412.74

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Solution

The fourth proportional to 678, 935.52 and 412.74 is: 569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    678 : 935.52 = 412.74 : x
  2. Step 2: Convert to fraction form
    678/935.52 = 412.74/x
  3. Step 3: Cross multiply
    678x = 935.52 × 412.74
  4. Step 4: Simplify right side
    678x = 386,126.52
  5. Step 5: Solve for x
    x = 386,126.52/678
  6. Step 6: Final answer
    x = 569.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.