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Finding the Fourth Proportional to 824.65, 1,236.15 and 362.05

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Solution

The fourth proportional to 824.65, 1,236.15 and 362.05 is: 542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.65 : 1,236.15 = 362.05 : x
  2. Step 2: Convert to fraction form
    824.65/1,236.15 = 362.05/x
  3. Step 3: Cross multiply
    824.65x = 1,236.15 × 362.05
  4. Step 4: Simplify right side
    824.65x = 447,545.02
  5. Step 5: Solve for x
    x = 447,545.02/824.65
  6. Step 6: Final answer
    x = 542.71

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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.