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Finding the Fourth Proportional to 695.61, 959.91 and 385.11

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Solution

The fourth proportional to 695.61, 959.91 and 385.11 is: 531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.61 : 959.91 = 385.11 : x
  2. Step 2: Convert to fraction form
    695.61/959.91 = 385.11/x
  3. Step 3: Cross multiply
    695.61x = 959.91 × 385.11
  4. Step 4: Simplify right side
    695.61x = 369,670.94
  5. Step 5: Solve for x
    x = 369,670.94/695.61
  6. Step 6: Final answer
    x = 531.43

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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.