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Finding the Fourth Proportional to 365.06, 503.66 and 217.64

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Solution

The fourth proportional to 365.06, 503.66 and 217.64 is: 300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.06 : 503.66 = 217.64 : x
  2. Step 2: Convert to fraction form
    365.06/503.66 = 217.64/x
  3. Step 3: Cross multiply
    365.06x = 503.66 × 217.64
  4. Step 4: Simplify right side
    365.06x = 109,612.96
  5. Step 5: Solve for x
    x = 109,612.96/365.06
  6. Step 6: Final answer
    x = 300.26

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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.