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Finding the Fourth Proportional to 695.13, 959.09 and 415.23

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Solution

The fourth proportional to 695.13, 959.09 and 415.23 is: 572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.13 : 959.09 = 415.23 : x
  2. Step 2: Convert to fraction form
    695.13/959.09 = 415.23/x
  3. Step 3: Cross multiply
    695.13x = 959.09 × 415.23
  4. Step 4: Simplify right side
    695.13x = 398,239.60
  5. Step 5: Solve for x
    x = 398,239.60/695.13
  6. Step 6: Final answer
    x = 572.90

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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.