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Finding the Fourth Proportional to 816.12, 1,224.53 and 353.78

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Solution

The fourth proportional to 816.12, 1,224.53 and 353.78 is: 530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.12 : 1,224.53 = 353.78 : x
  2. Step 2: Convert to fraction form
    816.12/1,224.53 = 353.78/x
  3. Step 3: Cross multiply
    816.12x = 1,224.53 × 353.78
  4. Step 4: Simplify right side
    816.12x = 433,206.33
  5. Step 5: Solve for x
    x = 433,206.33/816.12
  6. Step 6: Final answer
    x = 530.81

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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.