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Finding the Fourth Proportional to 662.80, 914.25 and 426.67

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Solution

The fourth proportional to 662.80, 914.25 and 426.67 is: 588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.80 : 914.25 = 426.67 : x
  2. Step 2: Convert to fraction form
    662.80/914.25 = 426.67/x
  3. Step 3: Cross multiply
    662.80x = 914.25 × 426.67
  4. Step 4: Simplify right side
    662.80x = 390,083.05
  5. Step 5: Solve for x
    x = 390,083.05/662.80
  6. Step 6: Final answer
    x = 588.54

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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.