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Finding the Fourth Proportional to 437.80, 652.73 and 426.40

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Solution

The fourth proportional to 437.80, 652.73 and 426.40 is: 635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.80 : 652.73 = 426.40 : x
  2. Step 2: Convert to fraction form
    437.80/652.73 = 426.40/x
  3. Step 3: Cross multiply
    437.80x = 652.73 × 426.40
  4. Step 4: Simplify right side
    437.80x = 278,324.07
  5. Step 5: Solve for x
    x = 278,324.07/437.80
  6. Step 6: Final answer
    x = 635.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.