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Finding the Fourth Proportional to 653.63, 979.41 and 344.54

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Solution

The fourth proportional to 653.63, 979.41 and 344.54 is: 516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.63 : 979.41 = 344.54 : x
  2. Step 2: Convert to fraction form
    653.63/979.41 = 344.54/x
  3. Step 3: Cross multiply
    653.63x = 979.41 × 344.54
  4. Step 4: Simplify right side
    653.63x = 337,449.66
  5. Step 5: Solve for x
    x = 337,449.66/653.63
  6. Step 6: Final answer
    x = 516.27

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.