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Finding the Fourth Proportional to 695.07, 959.24 and 462.03

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Solution

The fourth proportional to 695.07, 959.24 and 462.03 is: 637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.07 : 959.24 = 462.03 : x
  2. Step 2: Convert to fraction form
    695.07/959.24 = 462.03/x
  3. Step 3: Cross multiply
    695.07x = 959.24 × 462.03
  4. Step 4: Simplify right side
    695.07x = 443,197.66
  5. Step 5: Solve for x
    x = 443,197.66/695.07
  6. Step 6: Final answer
    x = 637.63

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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.