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Finding the Fourth Proportional to 427.38, 639.84 and 264.54

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Solution

The fourth proportional to 427.38, 639.84 and 264.54 is: 396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.38 : 639.84 = 264.54 : x
  2. Step 2: Convert to fraction form
    427.38/639.84 = 264.54/x
  3. Step 3: Cross multiply
    427.38x = 639.84 × 264.54
  4. Step 4: Simplify right side
    427.38x = 169,263.27
  5. Step 5: Solve for x
    x = 169,263.27/427.38
  6. Step 6: Final answer
    x = 396.05

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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.