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Finding the Fourth Proportional to 426.99, 640.50 and 264.18

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Solution

The fourth proportional to 426.99, 640.50 and 264.18 is: 396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.99 : 640.50 = 264.18 : x
  2. Step 2: Convert to fraction form
    426.99/640.50 = 264.18/x
  3. Step 3: Cross multiply
    426.99x = 640.50 × 264.18
  4. Step 4: Simplify right side
    426.99x = 169,207.29
  5. Step 5: Solve for x
    x = 169,207.29/426.99
  6. Step 6: Final answer
    x = 396.28

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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.