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Finding the Fourth Proportional to 824.35, 1,236.10 and 247.15

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Solution

The fourth proportional to 824.35, 1,236.10 and 247.15 is: 370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.35 : 1,236.10 = 247.15 : x
  2. Step 2: Convert to fraction form
    824.35/1,236.10 = 247.15/x
  3. Step 3: Cross multiply
    824.35x = 1,236.10 × 247.15
  4. Step 4: Simplify right side
    824.35x = 305,502.12
  5. Step 5: Solve for x
    x = 305,502.12/824.35
  6. Step 6: Final answer
    x = 370.60

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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.