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Finding the Fourth Proportional to 360.63, 498.24 and 305.94

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Solution

The fourth proportional to 360.63, 498.24 and 305.94 is: 422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.63 : 498.24 = 305.94 : x
  2. Step 2: Convert to fraction form
    360.63/498.24 = 305.94/x
  3. Step 3: Cross multiply
    360.63x = 498.24 × 305.94
  4. Step 4: Simplify right side
    360.63x = 152,431.55
  5. Step 5: Solve for x
    x = 152,431.55/360.63
  6. Step 6: Final answer
    x = 422.68

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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.