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Finding the Fourth Proportional to 358.28, 537.62 and 281.06

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Solution

The fourth proportional to 358.28, 537.62 and 281.06 is: 421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.28 : 537.62 = 281.06 : x
  2. Step 2: Convert to fraction form
    358.28/537.62 = 281.06/x
  3. Step 3: Cross multiply
    358.28x = 537.62 × 281.06
  4. Step 4: Simplify right side
    358.28x = 151,099.38
  5. Step 5: Solve for x
    x = 151,099.38/358.28
  6. Step 6: Final answer
    x = 421.74

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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.