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Finding the Fourth Proportional to 685.96, 946.66 and 391.32

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Solution

The fourth proportional to 685.96, 946.66 and 391.32 is: 540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.96 : 946.66 = 391.32 : x
  2. Step 2: Convert to fraction form
    685.96/946.66 = 391.32/x
  3. Step 3: Cross multiply
    685.96x = 946.66 × 391.32
  4. Step 4: Simplify right side
    685.96x = 370,446.99
  5. Step 5: Solve for x
    x = 370,446.99/685.96
  6. Step 6: Final answer
    x = 540.04

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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.