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Finding the Fourth Proportional to 678.67, 936.16 and 416.50

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Solution

The fourth proportional to 678.67, 936.16 and 416.50 is: 574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.67 : 936.16 = 416.50 : x
  2. Step 2: Convert to fraction form
    678.67/936.16 = 416.50/x
  3. Step 3: Cross multiply
    678.67x = 936.16 × 416.50
  4. Step 4: Simplify right side
    678.67x = 389,910.64
  5. Step 5: Solve for x
    x = 389,910.64/678.67
  6. Step 6: Final answer
    x = 574.52

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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.