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Finding the Fourth Proportional to 535.51, 738.97 and 339.09

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Solution

The fourth proportional to 535.51, 738.97 and 339.09 is: 467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.51 : 738.97 = 339.09 : x
  2. Step 2: Convert to fraction form
    535.51/738.97 = 339.09/x
  3. Step 3: Cross multiply
    535.51x = 738.97 × 339.09
  4. Step 4: Simplify right side
    535.51x = 250,575.63
  5. Step 5: Solve for x
    x = 250,575.63/535.51
  6. Step 6: Final answer
    x = 467.92

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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.