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Finding the Fourth Proportional to 361.02, 538.98 and 306.36

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Solution

The fourth proportional to 361.02, 538.98 and 306.36 is: 457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.02 : 538.98 = 306.36 : x
  2. Step 2: Convert to fraction form
    361.02/538.98 = 306.36/x
  3. Step 3: Cross multiply
    361.02x = 538.98 × 306.36
  4. Step 4: Simplify right side
    361.02x = 165,121.91
  5. Step 5: Solve for x
    x = 165,121.91/361.02
  6. Step 6: Final answer
    x = 457.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.