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Finding the Fourth Proportional to 535.83, 739.22 and 339.54

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Solution

The fourth proportional to 535.83, 739.22 and 339.54 is: 468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.83 : 739.22 = 339.54 : x
  2. Step 2: Convert to fraction form
    535.83/739.22 = 339.54/x
  3. Step 3: Cross multiply
    535.83x = 739.22 × 339.54
  4. Step 4: Simplify right side
    535.83x = 250,994.76
  5. Step 5: Solve for x
    x = 250,994.76/535.83
  6. Step 6: Final answer
    x = 468.42

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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.