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Finding the Fourth Proportional to 997.48, 1,495.68 and 380.71

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Solution

The fourth proportional to 997.48, 1,495.68 and 380.71 is: 570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.48 : 1,495.68 = 380.71 : x
  2. Step 2: Convert to fraction form
    997.48/1,495.68 = 380.71/x
  3. Step 3: Cross multiply
    997.48x = 1,495.68 × 380.71
  4. Step 4: Simplify right side
    997.48x = 569,420.33
  5. Step 5: Solve for x
    x = 569,420.33/997.48
  6. Step 6: Final answer
    x = 570.86

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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.