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Finding the Fourth Proportional to 365.41, 504.11 and 216.05

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Solution

The fourth proportional to 365.41, 504.11 and 216.05 is: 298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.41 : 504.11 = 216.05 : x
  2. Step 2: Convert to fraction form
    365.41/504.11 = 216.05/x
  3. Step 3: Cross multiply
    365.41x = 504.11 × 216.05
  4. Step 4: Simplify right side
    365.41x = 108,913.82
  5. Step 5: Solve for x
    x = 108,913.82/365.41
  6. Step 6: Final answer
    x = 298.06

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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.