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Finding the Fourth Proportional to 902.74, 1,354.24 and 382.42

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Solution

The fourth proportional to 902.74, 1,354.24 and 382.42 is: 573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.74 : 1,354.24 = 382.42 : x
  2. Step 2: Convert to fraction form
    902.74/1,354.24 = 382.42/x
  3. Step 3: Cross multiply
    902.74x = 1,354.24 × 382.42
  4. Step 4: Simplify right side
    902.74x = 517,888.46
  5. Step 5: Solve for x
    x = 517,888.46/902.74
  6. Step 6: Final answer
    x = 573.69

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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.