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Finding the Fourth Proportional to 695.38, 959.72 and 459.69

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Solution

The fourth proportional to 695.38, 959.72 and 459.69 is: 634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.38 : 959.72 = 459.69 : x
  2. Step 2: Convert to fraction form
    695.38/959.72 = 459.69/x
  3. Step 3: Cross multiply
    695.38x = 959.72 × 459.69
  4. Step 4: Simplify right side
    695.38x = 441,173.69
  5. Step 5: Solve for x
    x = 441,173.69/695.38
  6. Step 6: Final answer
    x = 634.44

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Double scale
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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.