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Finding the Fourth Proportional to 678.68, 936.16 and 416.24

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Solution

The fourth proportional to 678.68, 936.16 and 416.24 is: 574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.68 : 936.16 = 416.24 : x
  2. Step 2: Convert to fraction form
    678.68/936.16 = 416.24/x
  3. Step 3: Cross multiply
    678.68x = 936.16 × 416.24
  4. Step 4: Simplify right side
    678.68x = 389,667.24
  5. Step 5: Solve for x
    x = 389,667.24/678.68
  6. Step 6: Final answer
    x = 574.15

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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.