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Finding the Fourth Proportional to 535.86, 739.08 and 349.51

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Solution

The fourth proportional to 535.86, 739.08 and 349.51 is: 482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.86 : 739.08 = 349.51 : x
  2. Step 2: Convert to fraction form
    535.86/739.08 = 349.51/x
  3. Step 3: Cross multiply
    535.86x = 739.08 × 349.51
  4. Step 4: Simplify right side
    535.86x = 258,315.85
  5. Step 5: Solve for x
    x = 258,315.85/535.86
  6. Step 6: Final answer
    x = 482.06

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