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Finding the Fourth Proportional to 844.30, 1,266.65 and 289

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Solution

The fourth proportional to 844.30, 1,266.65 and 289 is: 433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.30 : 1,266.65 = 289 : x
  2. Step 2: Convert to fraction form
    844.30/1,266.65 = 289/x
  3. Step 3: Cross multiply
    844.30x = 1,266.65 × 289
  4. Step 4: Simplify right side
    844.30x = 366,061.85
  5. Step 5: Solve for x
    x = 366,061.85/844.30
  6. Step 6: Final answer
    x = 433.57

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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.