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Finding the Fourth Proportional to 365.82, 504.74 and 216.46

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Solution

The fourth proportional to 365.82, 504.74 and 216.46 is: 298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.82 : 504.74 = 216.46 : x
  2. Step 2: Convert to fraction form
    365.82/504.74 = 216.46/x
  3. Step 3: Cross multiply
    365.82x = 504.74 × 216.46
  4. Step 4: Simplify right side
    365.82x = 109,256.02
  5. Step 5: Solve for x
    x = 109,256.02/365.82
  6. Step 6: Final answer
    x = 298.66

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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.