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Finding the Fourth Proportional to 365.13, 507.38 and 361.38

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Solution

The fourth proportional to 365.13, 507.38 and 361.38 is: 502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.13 : 507.38 = 361.38 : x
  2. Step 2: Convert to fraction form
    365.13/507.38 = 361.38/x
  3. Step 3: Cross multiply
    365.13x = 507.38 × 361.38
  4. Step 4: Simplify right side
    365.13x = 183,356.98
  5. Step 5: Solve for x
    x = 183,356.98/365.13
  6. Step 6: Final answer
    x = 502.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.