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Finding the Fourth Proportional to 678.47, 936.36 and 412.92

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Solution

The fourth proportional to 678.47, 936.36 and 412.92 is: 569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.47 : 936.36 = 412.92 : x
  2. Step 2: Convert to fraction form
    678.47/936.36 = 412.92/x
  3. Step 3: Cross multiply
    678.47x = 936.36 × 412.92
  4. Step 4: Simplify right side
    678.47x = 386,641.77
  5. Step 5: Solve for x
    x = 386,641.77/678.47
  6. Step 6: Final answer
    x = 569.88

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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.