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Finding the Fourth Proportional to 365.08, 503.73 and 217.45

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Solution

The fourth proportional to 365.08, 503.73 and 217.45 is: 300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.08 : 503.73 = 217.45 : x
  2. Step 2: Convert to fraction form
    365.08/503.73 = 217.45/x
  3. Step 3: Cross multiply
    365.08x = 503.73 × 217.45
  4. Step 4: Simplify right side
    365.08x = 109,536.09
  5. Step 5: Solve for x
    x = 109,536.09/365.08
  6. Step 6: Final answer
    x = 300.03

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