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Finding the Fourth Proportional to 448.45, 616.24 and 365.38

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Solution

The fourth proportional to 448.45, 616.24 and 365.38 is: 502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.45 : 616.24 = 365.38 : x
  2. Step 2: Convert to fraction form
    448.45/616.24 = 365.38/x
  3. Step 3: Cross multiply
    448.45x = 616.24 × 365.38
  4. Step 4: Simplify right side
    448.45x = 225,161.77
  5. Step 5: Solve for x
    x = 225,161.77/448.45
  6. Step 6: Final answer
    x = 502.09

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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.