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Finding the Fourth Proportional to 678.14, 935.84 and 367.64

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Solution

The fourth proportional to 678.14, 935.84 and 367.64 is: 507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.14 : 935.84 = 367.64 : x
  2. Step 2: Convert to fraction form
    678.14/935.84 = 367.64/x
  3. Step 3: Cross multiply
    678.14x = 935.84 × 367.64
  4. Step 4: Simplify right side
    678.14x = 344,050.96
  5. Step 5: Solve for x
    x = 344,050.96/678.14
  6. Step 6: Final answer
    x = 507.34

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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.