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Finding the Fourth Proportional to 902.90, 1,354.19 and 415.91

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Solution

The fourth proportional to 902.90, 1,354.19 and 415.91 is: 623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.90 : 1,354.19 = 415.91 : x
  2. Step 2: Convert to fraction form
    902.90/1,354.19 = 415.91/x
  3. Step 3: Cross multiply
    902.90x = 1,354.19 × 415.91
  4. Step 4: Simplify right side
    902.90x = 563,212.31
  5. Step 5: Solve for x
    x = 563,212.31/902.90
  6. Step 6: Final answer
    x = 623.78

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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.