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Finding the Fourth Proportional to 695.06, 959.11 and 415.35

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Solution

The fourth proportional to 695.06, 959.11 and 415.35 is: 573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.06 : 959.11 = 415.35 : x
  2. Step 2: Convert to fraction form
    695.06/959.11 = 415.35/x
  3. Step 3: Cross multiply
    695.06x = 959.11 × 415.35
  4. Step 4: Simplify right side
    695.06x = 398,365.30
  5. Step 5: Solve for x
    x = 398,365.30/695.06
  6. Step 6: Final answer
    x = 573.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.