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Finding the Fourth Proportional to 902.75, 1,354.17 and 253.53

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Solution

The fourth proportional to 902.75, 1,354.17 and 253.53 is: 380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.75 : 1,354.17 = 253.53 : x
  2. Step 2: Convert to fraction form
    902.75/1,354.17 = 253.53/x
  3. Step 3: Cross multiply
    902.75x = 1,354.17 × 253.53
  4. Step 4: Simplify right side
    902.75x = 343,326.11
  5. Step 5: Solve for x
    x = 343,326.11/902.75
  6. Step 6: Final answer
    x = 380.31

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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.