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Finding the Fourth Proportional to 366.53, 502.91 and 363.09

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Solution

The fourth proportional to 366.53, 502.91 and 363.09 is: 498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.53 : 502.91 = 363.09 : x
  2. Step 2: Convert to fraction form
    366.53/502.91 = 363.09/x
  3. Step 3: Cross multiply
    366.53x = 502.91 × 363.09
  4. Step 4: Simplify right side
    366.53x = 182,602.50
  5. Step 5: Solve for x
    x = 182,602.50/366.53
  6. Step 6: Final answer
    x = 498.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.