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Finding the Fourth Proportional to 366.64, 505.83 and 287.98

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Solution

The fourth proportional to 366.64, 505.83 and 287.98 is: 397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.64 : 505.83 = 287.98 : x
  2. Step 2: Convert to fraction form
    366.64/505.83 = 287.98/x
  3. Step 3: Cross multiply
    366.64x = 505.83 × 287.98
  4. Step 4: Simplify right side
    366.64x = 145,668.92
  5. Step 5: Solve for x
    x = 145,668.92/366.64
  6. Step 6: Final answer
    x = 397.31

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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.