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Finding the Fourth Proportional to 539.84, 745.08 and 343.82

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Solution

The fourth proportional to 539.84, 745.08 and 343.82 is: 474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.84 : 745.08 = 343.82 : x
  2. Step 2: Convert to fraction form
    539.84/745.08 = 343.82/x
  3. Step 3: Cross multiply
    539.84x = 745.08 × 343.82
  4. Step 4: Simplify right side
    539.84x = 256,173.41
  5. Step 5: Solve for x
    x = 256,173.41/539.84
  6. Step 6: Final answer
    x = 474.54

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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.