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Finding the Fourth Proportional to 669.82, 1,004.38 and 361.82

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Solution

The fourth proportional to 669.82, 1,004.38 and 361.82 is: 542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.82 : 1,004.38 = 361.82 : x
  2. Step 2: Convert to fraction form
    669.82/1,004.38 = 361.82/x
  3. Step 3: Cross multiply
    669.82x = 1,004.38 × 361.82
  4. Step 4: Simplify right side
    669.82x = 363,404.77
  5. Step 5: Solve for x
    x = 363,404.77/669.82
  6. Step 6: Final answer
    x = 542.54

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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.