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Finding the Fourth Proportional to 365.22, 503.01 and 363.06

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Solution

The fourth proportional to 365.22, 503.01 and 363.06 is: 500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.22 : 503.01 = 363.06 : x
  2. Step 2: Convert to fraction form
    365.22/503.01 = 363.06/x
  3. Step 3: Cross multiply
    365.22x = 503.01 × 363.06
  4. Step 4: Simplify right side
    365.22x = 182,622.81
  5. Step 5: Solve for x
    x = 182,622.81/365.22
  6. Step 6: Final answer
    x = 500.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.