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Finding the Fourth Proportional to 695.48, 959.74 and 400.71

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Solution

The fourth proportional to 695.48, 959.74 and 400.71 is: 552.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.48 : 959.74 = 400.71 : x
  2. Step 2: Convert to fraction form
    695.48/959.74 = 400.71/x
  3. Step 3: Cross multiply
    695.48x = 959.74 × 400.71
  4. Step 4: Simplify right side
    695.48x = 384,576.41
  5. Step 5: Solve for x
    x = 384,576.41/695.48
  6. Step 6: Final answer
    x = 552.96

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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.