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Finding the Fourth Proportional to 839.06, 1,259.10 and 352.16

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Solution

The fourth proportional to 839.06, 1,259.10 and 352.16 is: 528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.06 : 1,259.10 = 352.16 : x
  2. Step 2: Convert to fraction form
    839.06/1,259.10 = 352.16/x
  3. Step 3: Cross multiply
    839.06x = 1,259.10 × 352.16
  4. Step 4: Simplify right side
    839.06x = 443,404.66
  5. Step 5: Solve for x
    x = 443,404.66/839.06
  6. Step 6: Final answer
    x = 528.45

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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.