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Finding the Fourth Proportional to 674.69, 931.32 and 426.38

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Solution

The fourth proportional to 674.69, 931.32 and 426.38 is: 588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.69 : 931.32 = 426.38 : x
  2. Step 2: Convert to fraction form
    674.69/931.32 = 426.38/x
  3. Step 3: Cross multiply
    674.69x = 931.32 × 426.38
  4. Step 4: Simplify right side
    674.69x = 397,091.57
  5. Step 5: Solve for x
    x = 397,091.57/674.69
  6. Step 6: Final answer
    x = 588.56

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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.