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Finding the Fourth Proportional to 695.38, 959.78 and 415.78

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Solution

The fourth proportional to 695.38, 959.78 and 415.78 is: 573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.38 : 959.78 = 415.78 : x
  2. Step 2: Convert to fraction form
    695.38/959.78 = 415.78/x
  3. Step 3: Cross multiply
    695.38x = 959.78 × 415.78
  4. Step 4: Simplify right side
    695.38x = 399,059.57
  5. Step 5: Solve for x
    x = 399,059.57/695.38
  6. Step 6: Final answer
    x = 573.87

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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.