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Finding the Fourth Proportional to 426.25, 640.19 and 265.06

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Solution

The fourth proportional to 426.25, 640.19 and 265.06 is: 398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.25 : 640.19 = 265.06 : x
  2. Step 2: Convert to fraction form
    426.25/640.19 = 265.06/x
  3. Step 3: Cross multiply
    426.25x = 640.19 × 265.06
  4. Step 4: Simplify right side
    426.25x = 169,690.36
  5. Step 5: Solve for x
    x = 169,690.36/426.25
  6. Step 6: Final answer
    x = 398.10

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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.