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Finding the Fourth Proportional to 365.01, 500.84 and 361.57

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Solution

The fourth proportional to 365.01, 500.84 and 361.57 is: 496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.01 : 500.84 = 361.57 : x
  2. Step 2: Convert to fraction form
    365.01/500.84 = 361.57/x
  3. Step 3: Cross multiply
    365.01x = 500.84 × 361.57
  4. Step 4: Simplify right side
    365.01x = 181,088.72
  5. Step 5: Solve for x
    x = 181,088.72/365.01
  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.