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Finding the Fourth Proportional to 816.69, 1,225.24 and 354.36

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Solution

The fourth proportional to 816.69, 1,225.24 and 354.36 is: 531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.69 : 1,225.24 = 354.36 : x
  2. Step 2: Convert to fraction form
    816.69/1,225.24 = 354.36/x
  3. Step 3: Cross multiply
    816.69x = 1,225.24 × 354.36
  4. Step 4: Simplify right side
    816.69x = 434,168.15
  5. Step 5: Solve for x
    x = 434,168.15/816.69
  6. Step 6: Final answer
    x = 531.62

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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.