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Finding the Fourth Proportional to 427.12, 640.66 and 260.38

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Solution

The fourth proportional to 427.12, 640.66 and 260.38 is: 390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.12 : 640.66 = 260.38 : x
  2. Step 2: Convert to fraction form
    427.12/640.66 = 260.38/x
  3. Step 3: Cross multiply
    427.12x = 640.66 × 260.38
  4. Step 4: Simplify right side
    427.12x = 166,815.05
  5. Step 5: Solve for x
    x = 166,815.05/427.12
  6. Step 6: Final answer
    x = 390.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.