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Finding the Fourth Proportional to 423.22, 584.68 and 361.76

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Solution

The fourth proportional to 423.22, 584.68 and 361.76 is: 499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.22 : 584.68 = 361.76 : x
  2. Step 2: Convert to fraction form
    423.22/584.68 = 361.76/x
  3. Step 3: Cross multiply
    423.22x = 584.68 × 361.76
  4. Step 4: Simplify right side
    423.22x = 211,513.84
  5. Step 5: Solve for x
    x = 211,513.84/423.22
  6. Step 6: Final answer
    x = 499.77

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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.