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Finding the Fourth Proportional to 997.16, 1,495.53 and 380.70

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Solution

The fourth proportional to 997.16, 1,495.53 and 380.70 is: 570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.16 : 1,495.53 = 380.70 : x
  2. Step 2: Convert to fraction form
    997.16/1,495.53 = 380.70/x
  3. Step 3: Cross multiply
    997.16x = 1,495.53 × 380.70
  4. Step 4: Simplify right side
    997.16x = 569,348.27
  5. Step 5: Solve for x
    x = 569,348.27/997.16
  6. Step 6: Final answer
    x = 570.97

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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.