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Finding the Fourth Proportional to 678.50, 936.34 and 416.46

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Solution

The fourth proportional to 678.50, 936.34 and 416.46 is: 574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.50 : 936.34 = 416.46 : x
  2. Step 2: Convert to fraction form
    678.50/936.34 = 416.46/x
  3. Step 3: Cross multiply
    678.50x = 936.34 × 416.46
  4. Step 4: Simplify right side
    678.50x = 389,948.16
  5. Step 5: Solve for x
    x = 389,948.16/678.50
  6. Step 6: Final answer
    x = 574.72

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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.