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Finding the Fourth Proportional to 678.10, 935.78 and 367.60

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Solution

The fourth proportional to 678.10, 935.78 and 367.60 is: 507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.10 : 935.78 = 367.60 : x
  2. Step 2: Convert to fraction form
    678.10/935.78 = 367.60/x
  3. Step 3: Cross multiply
    678.10x = 935.78 × 367.60
  4. Step 4: Simplify right side
    678.10x = 343,986.21
  5. Step 5: Solve for x
    x = 343,986.21/678.10
  6. Step 6: Final answer
    x = 507.28

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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.