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Finding the Fourth Proportional to 539.83, 745.05 and 340.84

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Solution

The fourth proportional to 539.83, 745.05 and 340.84 is: 470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.83 : 745.05 = 340.84 : x
  2. Step 2: Convert to fraction form
    539.83/745.05 = 340.84/x
  3. Step 3: Cross multiply
    539.83x = 745.05 × 340.84
  4. Step 4: Simplify right side
    539.83x = 253,942.84
  5. Step 5: Solve for x
    x = 253,942.84/539.83
  6. Step 6: Final answer
    x = 470.41

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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.