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Finding the Fourth Proportional to 839.32, 1,259.10 and 352.26

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Solution

The fourth proportional to 839.32, 1,259.10 and 352.26 is: 528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.32 : 1,259.10 = 352.26 : x
  2. Step 2: Convert to fraction form
    839.32/1,259.10 = 352.26/x
  3. Step 3: Cross multiply
    839.32x = 1,259.10 × 352.26
  4. Step 4: Simplify right side
    839.32x = 443,530.57
  5. Step 5: Solve for x
    x = 443,530.57/839.32
  6. Step 6: Final answer
    x = 528.44

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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.