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Finding the Fourth Proportional to 902.67, 1,354.28 and 415.99

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Solution

The fourth proportional to 902.67, 1,354.28 and 415.99 is: 624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.67 : 1,354.28 = 415.99 : x
  2. Step 2: Convert to fraction form
    902.67/1,354.28 = 415.99/x
  3. Step 3: Cross multiply
    902.67x = 1,354.28 × 415.99
  4. Step 4: Simplify right side
    902.67x = 563,366.55
  5. Step 5: Solve for x
    x = 563,366.55/902.67
  6. Step 6: Final answer
    x = 624.11

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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.