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Finding the Fourth Proportional to 365.07, 503.73 and 217.77

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Solution

The fourth proportional to 365.07, 503.73 and 217.77 is: 300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.07 : 503.73 = 217.77 : x
  2. Step 2: Convert to fraction form
    365.07/503.73 = 217.77/x
  3. Step 3: Cross multiply
    365.07x = 503.73 × 217.77
  4. Step 4: Simplify right side
    365.07x = 109,697.28
  5. Step 5: Solve for x
    x = 109,697.28/365.07
  6. Step 6: Final answer
    x = 300.48

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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.