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Finding the Fourth Proportional to 426.42, 639.19 and 289.48

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Solution

The fourth proportional to 426.42, 639.19 and 289.48 is: 433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.42 : 639.19 = 289.48 : x
  2. Step 2: Convert to fraction form
    426.42/639.19 = 289.48/x
  3. Step 3: Cross multiply
    426.42x = 639.19 × 289.48
  4. Step 4: Simplify right side
    426.42x = 185,032.72
  5. Step 5: Solve for x
    x = 185,032.72/426.42
  6. Step 6: Final answer
    x = 433.92

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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.