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Finding the Fourth Proportional to 380.47, 570 and 243.22

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Solution

The fourth proportional to 380.47, 570 and 243.22 is: 364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.47 : 570 = 243.22 : x
  2. Step 2: Convert to fraction form
    380.47/570 = 243.22/x
  3. Step 3: Cross multiply
    380.47x = 570 × 243.22
  4. Step 4: Simplify right side
    380.47x = 138,635.40
  5. Step 5: Solve for x
    x = 138,635.40/380.47
  6. Step 6: Final answer
    x = 364.38

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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.