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Finding the Fourth Proportional to 286.64, 429.24 and 263.60

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Solution

The fourth proportional to 286.64, 429.24 and 263.60 is: 394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.64 : 429.24 = 263.60 : x
  2. Step 2: Convert to fraction form
    286.64/429.24 = 263.60/x
  3. Step 3: Cross multiply
    286.64x = 429.24 × 263.60
  4. Step 4: Simplify right side
    286.64x = 113,147.66
  5. Step 5: Solve for x
    x = 113,147.66/286.64
  6. Step 6: Final answer
    x = 394.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.