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Finding the Fourth Proportional to 902.82, 1,354.35 and 382.73

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Solution

The fourth proportional to 902.82, 1,354.35 and 382.73 is: 574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.82 : 1,354.35 = 382.73 : x
  2. Step 2: Convert to fraction form
    902.82/1,354.35 = 382.73/x
  3. Step 3: Cross multiply
    902.82x = 1,354.35 × 382.73
  4. Step 4: Simplify right side
    902.82x = 518,341.81
  5. Step 5: Solve for x
    x = 518,341.81/902.82
  6. Step 6: Final answer
    x = 574.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.