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Finding the Fourth Proportional to 650.23, 897.48 and 426.06

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Solution

The fourth proportional to 650.23, 897.48 and 426.06 is: 588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.23 : 897.48 = 426.06 : x
  2. Step 2: Convert to fraction form
    650.23/897.48 = 426.06/x
  3. Step 3: Cross multiply
    650.23x = 897.48 × 426.06
  4. Step 4: Simplify right side
    650.23x = 382,380.33
  5. Step 5: Solve for x
    x = 382,380.33/650.23
  6. Step 6: Final answer
    x = 588.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.