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Finding the Fourth Proportional to 859.08, 1,288.75 and 365.48

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Solution

The fourth proportional to 859.08, 1,288.75 and 365.48 is: 548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.08 : 1,288.75 = 365.48 : x
  2. Step 2: Convert to fraction form
    859.08/1,288.75 = 365.48/x
  3. Step 3: Cross multiply
    859.08x = 1,288.75 × 365.48
  4. Step 4: Simplify right side
    859.08x = 471,014.66
  5. Step 5: Solve for x
    x = 471,014.66/859.08
  6. Step 6: Final answer
    x = 548.28

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Why These Related Problems?

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