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Finding the Fourth Proportional to 582.91, 873.65 and 308.82

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Solution

The fourth proportional to 582.91, 873.65 and 308.82 is: 462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.91 : 873.65 = 308.82 : x
  2. Step 2: Convert to fraction form
    582.91/873.65 = 308.82/x
  3. Step 3: Cross multiply
    582.91x = 873.65 × 308.82
  4. Step 4: Simplify right side
    582.91x = 269,799.05
  5. Step 5: Solve for x
    x = 269,799.05/582.91
  6. Step 6: Final answer
    x = 462.85

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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.