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Finding the Fourth Proportional to 816.16, 1,224.24 and 353.80

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Solution

The fourth proportional to 816.16, 1,224.24 and 353.80 is: 530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.16 : 1,224.24 = 353.80 : x
  2. Step 2: Convert to fraction form
    816.16/1,224.24 = 353.80/x
  3. Step 3: Cross multiply
    816.16x = 1,224.24 × 353.80
  4. Step 4: Simplify right side
    816.16x = 433,136.11
  5. Step 5: Solve for x
    x = 433,136.11/816.16
  6. Step 6: Final answer
    x = 530.70

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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.