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Finding the Fourth Proportional to 685.84, 946.48 and 391.12

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Solution

The fourth proportional to 685.84, 946.48 and 391.12 is: 539.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.84 : 946.48 = 391.12 : x
  2. Step 2: Convert to fraction form
    685.84/946.48 = 391.12/x
  3. Step 3: Cross multiply
    685.84x = 946.48 × 391.12
  4. Step 4: Simplify right side
    685.84x = 370,187.26
  5. Step 5: Solve for x
    x = 370,187.26/685.84
  6. Step 6: Final answer
    x = 539.76

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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.