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Finding the Fourth Proportional to 695.24, 959.48 and 400.64

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Solution

The fourth proportional to 695.24, 959.48 and 400.64 is: 552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.24 : 959.48 = 400.64 : x
  2. Step 2: Convert to fraction form
    695.24/959.48 = 400.64/x
  3. Step 3: Cross multiply
    695.24x = 959.48 × 400.64
  4. Step 4: Simplify right side
    695.24x = 384,406.07
  5. Step 5: Solve for x
    x = 384,406.07/695.24
  6. Step 6: Final answer
    x = 552.91

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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.