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Finding the Fourth Proportional to 674.39, 930.71 and 477.97

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Solution

The fourth proportional to 674.39, 930.71 and 477.97 is: 659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.39 : 930.71 = 477.97 : x
  2. Step 2: Convert to fraction form
    674.39/930.71 = 477.97/x
  3. Step 3: Cross multiply
    674.39x = 930.71 × 477.97
  4. Step 4: Simplify right side
    674.39x = 444,851.46
  5. Step 5: Solve for x
    x = 444,851.46/674.39
  6. Step 6: Final answer
    x = 659.64

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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.