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Finding the Fourth Proportional to 902.75, 1,354.13 and 416.15

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Solution

The fourth proportional to 902.75, 1,354.13 and 416.15 is: 624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.75 : 1,354.13 = 416.15 : x
  2. Step 2: Convert to fraction form
    902.75/1,354.13 = 416.15/x
  3. Step 3: Cross multiply
    902.75x = 1,354.13 × 416.15
  4. Step 4: Simplify right side
    902.75x = 563,512.35
  5. Step 5: Solve for x
    x = 563,512.35/902.75
  6. Step 6: Final answer
    x = 624.22

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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.