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Finding the Fourth Proportional to 902.09, 1,352.16 and 353.82

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Solution

The fourth proportional to 902.09, 1,352.16 and 353.82 is: 530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.09 : 1,352.16 = 353.82 : x
  2. Step 2: Convert to fraction form
    902.09/1,352.16 = 353.82/x
  3. Step 3: Cross multiply
    902.09x = 1,352.16 × 353.82
  4. Step 4: Simplify right side
    902.09x = 478,421.25
  5. Step 5: Solve for x
    x = 478,421.25/902.09
  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.