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Finding the Fourth Proportional to 1,469.31, 2,204.03 and 373.68

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Solution

The fourth proportional to 1,469.31, 2,204.03 and 373.68 is: 560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.31 : 2,204.03 = 373.68 : x
  2. Step 2: Convert to fraction form
    1,469.31/2,204.03 = 373.68/x
  3. Step 3: Cross multiply
    1,469.31x = 2,204.03 × 373.68
  4. Step 4: Simplify right side
    1,469.31x = 823,602.86
  5. Step 5: Solve for x
    x = 823,602.86/1,469.31
  6. Step 6: Final answer
    x = 560.54

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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.