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Finding the Fourth Proportional to 678.05, 935.71 and 367.55

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Solution

The fourth proportional to 678.05, 935.71 and 367.55 is: 507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.05 : 935.71 = 367.55 : x
  2. Step 2: Convert to fraction form
    678.05/935.71 = 367.55/x
  3. Step 3: Cross multiply
    678.05x = 935.71 × 367.55
  4. Step 4: Simplify right side
    678.05x = 343,921.63
  5. Step 5: Solve for x
    x = 343,921.63/678.05
  6. Step 6: Final answer
    x = 507.22

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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.