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Finding the Fourth Proportional to 366.18, 504.94 and 299.29

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Solution

The fourth proportional to 366.18, 504.94 and 299.29 is: 412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.18 : 504.94 = 299.29 : x
  2. Step 2: Convert to fraction form
    366.18/504.94 = 299.29/x
  3. Step 3: Cross multiply
    366.18x = 504.94 × 299.29
  4. Step 4: Simplify right side
    366.18x = 151,122.15
  5. Step 5: Solve for x
    x = 151,122.15/366.18
  6. Step 6: Final answer
    x = 412.70

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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.