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Finding the Fourth Proportional to 684.07, 943.81 and 422.17

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Solution

The fourth proportional to 684.07, 943.81 and 422.17 is: 582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.07 : 943.81 = 422.17 : x
  2. Step 2: Convert to fraction form
    684.07/943.81 = 422.17/x
  3. Step 3: Cross multiply
    684.07x = 943.81 × 422.17
  4. Step 4: Simplify right side
    684.07x = 398,444.85
  5. Step 5: Solve for x
    x = 398,444.85/684.07
  6. Step 6: Final answer
    x = 582.46

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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.