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Finding the Fourth Proportional to 435.54, 600.50 and 361.83

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Solution

The fourth proportional to 435.54, 600.50 and 361.83 is: 498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.54 : 600.50 = 361.83 : x
  2. Step 2: Convert to fraction form
    435.54/600.50 = 361.83/x
  3. Step 3: Cross multiply
    435.54x = 600.50 × 361.83
  4. Step 4: Simplify right side
    435.54x = 217,277.11
  5. Step 5: Solve for x
    x = 217,277.11/435.54
  6. Step 6: Final answer
    x = 498.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.