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Finding the Fourth Proportional to 426.40, 638.08 and 264.16

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Solution

The fourth proportional to 426.40, 638.08 and 264.16 is: 395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.40 : 638.08 = 264.16 : x
  2. Step 2: Convert to fraction form
    426.40/638.08 = 264.16/x
  3. Step 3: Cross multiply
    426.40x = 638.08 × 264.16
  4. Step 4: Simplify right side
    426.40x = 168,555.21
  5. Step 5: Solve for x
    x = 168,555.21/426.40
  6. Step 6: Final answer
    x = 395.30

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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.