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Finding the Fourth Proportional to 685.94, 946.65 and 391.19

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Solution

The fourth proportional to 685.94, 946.65 and 391.19 is: 539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.94 : 946.65 = 391.19 : x
  2. Step 2: Convert to fraction form
    685.94/946.65 = 391.19/x
  3. Step 3: Cross multiply
    685.94x = 946.65 × 391.19
  4. Step 4: Simplify right side
    685.94x = 370,315.28
  5. Step 5: Solve for x
    x = 370,315.28/685.94
  6. Step 6: Final answer
    x = 539.87

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1.5x scale

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.