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Finding the Fourth Proportional to 669.94, 1,005.30 and 361.80

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Solution

The fourth proportional to 669.94, 1,005.30 and 361.80 is: 542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.94 : 1,005.30 = 361.80 : x
  2. Step 2: Convert to fraction form
    669.94/1,005.30 = 361.80/x
  3. Step 3: Cross multiply
    669.94x = 1,005.30 × 361.80
  4. Step 4: Simplify right side
    669.94x = 363,717.54
  5. Step 5: Solve for x
    x = 363,717.54/669.94
  6. Step 6: Final answer
    x = 542.91

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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.