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Finding the Fourth Proportional to 859.86, 1,289.48 and 304.43

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Solution

The fourth proportional to 859.86, 1,289.48 and 304.43 is: 456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.86 : 1,289.48 = 304.43 : x
  2. Step 2: Convert to fraction form
    859.86/1,289.48 = 304.43/x
  3. Step 3: Cross multiply
    859.86x = 1,289.48 × 304.43
  4. Step 4: Simplify right side
    859.86x = 392,548.43
  5. Step 5: Solve for x
    x = 392,548.43/859.86
  6. Step 6: Final answer
    x = 456.53

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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.