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Finding the Fourth Proportional to 839.35, 1,259.03 and 352.27

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Solution

The fourth proportional to 839.35, 1,259.03 and 352.27 is: 528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.35 : 1,259.03 = 352.27 : x
  2. Step 2: Convert to fraction form
    839.35/1,259.03 = 352.27/x
  3. Step 3: Cross multiply
    839.35x = 1,259.03 × 352.27
  4. Step 4: Simplify right side
    839.35x = 443,516.74
  5. Step 5: Solve for x
    x = 443,516.74/839.35
  6. Step 6: Final answer
    x = 528.41

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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.