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Finding the Fourth Proportional to 706.33, 974.25 and 484.90

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Solution

The fourth proportional to 706.33, 974.25 and 484.90 is: 668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.33 : 974.25 = 484.90 : x
  2. Step 2: Convert to fraction form
    706.33/974.25 = 484.90/x
  3. Step 3: Cross multiply
    706.33x = 974.25 × 484.90
  4. Step 4: Simplify right side
    706.33x = 472,411.39
  5. Step 5: Solve for x
    x = 472,411.39/706.33
  6. Step 6: Final answer
    x = 668.83

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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.