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Finding the Fourth Proportional to 859.32, 1,289.28 and 365.86

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Solution

The fourth proportional to 859.32, 1,289.28 and 365.86 is: 548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.32 : 1,289.28 = 365.86 : x
  2. Step 2: Convert to fraction form
    859.32/1,289.28 = 365.86/x
  3. Step 3: Cross multiply
    859.32x = 1,289.28 × 365.86
  4. Step 4: Simplify right side
    859.32x = 471,695.98
  5. Step 5: Solve for x
    x = 471,695.98/859.32
  6. Step 6: Final answer
    x = 548.92

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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.