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Finding the Fourth Proportional to 367.02, 502.10 and 365.46

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Solution

The fourth proportional to 367.02, 502.10 and 365.46 is: 499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.02 : 502.10 = 365.46 : x
  2. Step 2: Convert to fraction form
    367.02/502.10 = 365.46/x
  3. Step 3: Cross multiply
    367.02x = 502.10 × 365.46
  4. Step 4: Simplify right side
    367.02x = 183,495.64
  5. Step 5: Solve for x
    x = 183,495.64/367.02
  6. Step 6: Final answer
    x = 499.96

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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.