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Finding the Fourth Proportional to 902.90, 1,354.53 and 382.89

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Solution

The fourth proportional to 902.90, 1,354.53 and 382.89 is: 574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.90 : 1,354.53 = 382.89 : x
  2. Step 2: Convert to fraction form
    902.90/1,354.53 = 382.89/x
  3. Step 3: Cross multiply
    902.90x = 1,354.53 × 382.89
  4. Step 4: Simplify right side
    902.90x = 518,635.99
  5. Step 5: Solve for x
    x = 518,635.99/902.90
  6. Step 6: Final answer
    x = 574.41

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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.