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Finding the Fourth Proportional to 816.02, 1,223.99 and 353.58

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Solution

The fourth proportional to 816.02, 1,223.99 and 353.58 is: 530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.02 : 1,223.99 = 353.58 : x
  2. Step 2: Convert to fraction form
    816.02/1,223.99 = 353.58/x
  3. Step 3: Cross multiply
    816.02x = 1,223.99 × 353.58
  4. Step 4: Simplify right side
    816.02x = 432,778.38
  5. Step 5: Solve for x
    x = 432,778.38/816.02
  6. Step 6: Final answer
    x = 530.35

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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.