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Finding the Fourth Proportional to 940.48, 1,410.96 and 363.52

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Solution

The fourth proportional to 940.48, 1,410.96 and 363.52 is: 545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.48 : 1,410.96 = 363.52 : x
  2. Step 2: Convert to fraction form
    940.48/1,410.96 = 363.52/x
  3. Step 3: Cross multiply
    940.48x = 1,410.96 × 363.52
  4. Step 4: Simplify right side
    940.48x = 512,912.18
  5. Step 5: Solve for x
    x = 512,912.18/940.48
  6. Step 6: Final answer
    x = 545.37

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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.