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Finding the Fourth Proportional to 678.54, 936.44 and 416.60

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Solution

The fourth proportional to 678.54, 936.44 and 416.60 is: 574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.54 : 936.44 = 416.60 : x
  2. Step 2: Convert to fraction form
    678.54/936.44 = 416.60/x
  3. Step 3: Cross multiply
    678.54x = 936.44 × 416.60
  4. Step 4: Simplify right side
    678.54x = 390,120.90
  5. Step 5: Solve for x
    x = 390,120.90/678.54
  6. Step 6: Final answer
    x = 574.94

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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.