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Finding the Fourth Proportional to 901, 1,350.42 and 380.84

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Solution

The fourth proportional to 901, 1,350.42 and 380.84 is: 570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    901 : 1,350.42 = 380.84 : x
  2. Step 2: Convert to fraction form
    901/1,350.42 = 380.84/x
  3. Step 3: Cross multiply
    901x = 1,350.42 × 380.84
  4. Step 4: Simplify right side
    901x = 514,293.95
  5. Step 5: Solve for x
    x = 514,293.95/901
  6. Step 6: Final answer
    x = 570.80

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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.