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Finding the Fourth Proportional to 695.06, 959.07 and 400.22

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Solution

The fourth proportional to 695.06, 959.07 and 400.22 is: 552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.06 : 959.07 = 400.22 : x
  2. Step 2: Convert to fraction form
    695.06/959.07 = 400.22/x
  3. Step 3: Cross multiply
    695.06x = 959.07 × 400.22
  4. Step 4: Simplify right side
    695.06x = 383,839.00
  5. Step 5: Solve for x
    x = 383,839.00/695.06
  6. Step 6: Final answer
    x = 552.24

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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.