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Finding the Fourth Proportional to 582.05, 872.04 and 308.33

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Solution

The fourth proportional to 582.05, 872.04 and 308.33 is: 461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.05 : 872.04 = 308.33 : x
  2. Step 2: Convert to fraction form
    582.05/872.04 = 308.33/x
  3. Step 3: Cross multiply
    582.05x = 872.04 × 308.33
  4. Step 4: Simplify right side
    582.05x = 268,876.09
  5. Step 5: Solve for x
    x = 268,876.09/582.05
  6. Step 6: Final answer
    x = 461.95

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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.