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Finding the Fourth Proportional to 366.66, 502.35 and 362.12

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Solution

The fourth proportional to 366.66, 502.35 and 362.12 is: 496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.66 : 502.35 = 362.12 : x
  2. Step 2: Convert to fraction form
    366.66/502.35 = 362.12/x
  3. Step 3: Cross multiply
    366.66x = 502.35 × 362.12
  4. Step 4: Simplify right side
    366.66x = 181,908.47
  5. Step 5: Solve for x
    x = 181,908.47/366.66
  6. Step 6: Final answer
    x = 496.12

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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.