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Finding the Fourth Proportional to 451.68, 677.49 and 289

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Solution

The fourth proportional to 451.68, 677.49 and 289 is: 433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.68 : 677.49 = 289 : x
  2. Step 2: Convert to fraction form
    451.68/677.49 = 289/x
  3. Step 3: Cross multiply
    451.68x = 677.49 × 289
  4. Step 4: Simplify right side
    451.68x = 195,794.61
  5. Step 5: Solve for x
    x = 195,794.61/451.68
  6. Step 6: Final answer
    x = 433.48

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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.