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Finding the Fourth Proportional to 902.27, 1,352.86 and 353.80

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Solution

The fourth proportional to 902.27, 1,352.86 and 353.80 is: 530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.27 : 1,352.86 = 353.80 : x
  2. Step 2: Convert to fraction form
    902.27/1,352.86 = 353.80/x
  3. Step 3: Cross multiply
    902.27x = 1,352.86 × 353.80
  4. Step 4: Simplify right side
    902.27x = 478,638.49
  5. Step 5: Solve for x
    x = 478,638.49/902.27
  6. Step 6: Final answer
    x = 530.48

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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.