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Finding the Fourth Proportional to 695.66, 959.99 and 401.00

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Solution

The fourth proportional to 695.66, 959.99 and 401.00 is: 553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.66 : 959.99 = 401.00 : x
  2. Step 2: Convert to fraction form
    695.66/959.99 = 401.00/x
  3. Step 3: Cross multiply
    695.66x = 959.99 × 401.00
  4. Step 4: Simplify right side
    695.66x = 384,949.19
  5. Step 5: Solve for x
    x = 384,949.19/695.66
  6. Step 6: Final answer
    x = 553.36

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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.