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Finding the Fourth Proportional to 695.51, 959.88 and 400.85

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Solution

The fourth proportional to 695.51, 959.88 and 400.85 is: 553.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.51 : 959.88 = 400.85 : x
  2. Step 2: Convert to fraction form
    695.51/959.88 = 400.85/x
  3. Step 3: Cross multiply
    695.51x = 959.88 × 400.85
  4. Step 4: Simplify right side
    695.51x = 384,763.10
  5. Step 5: Solve for x
    x = 384,763.10/695.51
  6. Step 6: Final answer
    x = 553.21

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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.