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Finding the Fourth Proportional to 366.72, 505.28 and 353.28

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Solution

The fourth proportional to 366.72, 505.28 and 353.28 is: 486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.72 : 505.28 = 353.28 : x
  2. Step 2: Convert to fraction form
    366.72/505.28 = 353.28/x
  3. Step 3: Cross multiply
    366.72x = 505.28 × 353.28
  4. Step 4: Simplify right side
    366.72x = 178,505.32
  5. Step 5: Solve for x
    x = 178,505.32/366.72
  6. Step 6: Final answer
    x = 486.76

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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.