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Finding the Fourth Proportional to 685.69, 946.34 and 391

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Solution

The fourth proportional to 685.69, 946.34 and 391 is: 539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.69 : 946.34 = 391 : x
  2. Step 2: Convert to fraction form
    685.69/946.34 = 391/x
  3. Step 3: Cross multiply
    685.69x = 946.34 × 391
  4. Step 4: Simplify right side
    685.69x = 370,018.94
  5. Step 5: Solve for x
    x = 370,018.94/685.69
  6. Step 6: Final answer
    x = 539.63

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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.