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Finding the Fourth Proportional to 364.28, 546.05 and 233.91

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Solution

The fourth proportional to 364.28, 546.05 and 233.91 is: 350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.28 : 546.05 = 233.91 : x
  2. Step 2: Convert to fraction form
    364.28/546.05 = 233.91/x
  3. Step 3: Cross multiply
    364.28x = 546.05 × 233.91
  4. Step 4: Simplify right side
    364.28x = 127,727.14
  5. Step 5: Solve for x
    x = 127,727.14/364.28
  6. Step 6: Final answer
    x = 350.63

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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.