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Finding the Fourth Proportional to 816.74, 1,224.17 and 354.05

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Solution

The fourth proportional to 816.74, 1,224.17 and 354.05 is: 530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.74 : 1,224.17 = 354.05 : x
  2. Step 2: Convert to fraction form
    816.74/1,224.17 = 354.05/x
  3. Step 3: Cross multiply
    816.74x = 1,224.17 × 354.05
  4. Step 4: Simplify right side
    816.74x = 433,414.09
  5. Step 5: Solve for x
    x = 433,414.09/816.74
  6. Step 6: Final answer
    x = 530.67

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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.