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Finding the Fourth Proportional to 695.42, 959.60 and 415.61

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Solution

The fourth proportional to 695.42, 959.60 and 415.61 is: 573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.42 : 959.60 = 415.61 : x
  2. Step 2: Convert to fraction form
    695.42/959.60 = 415.61/x
  3. Step 3: Cross multiply
    695.42x = 959.60 × 415.61
  4. Step 4: Simplify right side
    695.42x = 398,814.16
  5. Step 5: Solve for x
    x = 398,814.16/695.42
  6. Step 6: Final answer
    x = 573.48

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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.