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Finding the Fourth Proportional to 539.29, 743.91 and 340.04

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Solution

The fourth proportional to 539.29, 743.91 and 340.04 is: 469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.29 : 743.91 = 340.04 : x
  2. Step 2: Convert to fraction form
    539.29/743.91 = 340.04/x
  3. Step 3: Cross multiply
    539.29x = 743.91 × 340.04
  4. Step 4: Simplify right side
    539.29x = 252,959.16
  5. Step 5: Solve for x
    x = 252,959.16/539.29
  6. Step 6: Final answer
    x = 469.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.