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Finding the Fourth Proportional to 695, 959.22 and 432.98

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Solution

The fourth proportional to 695, 959.22 and 432.98 is: 597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    695 : 959.22 = 432.98 : x
  2. Step 2: Convert to fraction form
    695/959.22 = 432.98/x
  3. Step 3: Cross multiply
    695x = 959.22 × 432.98
  4. Step 4: Simplify right side
    695x = 415,323.08
  5. Step 5: Solve for x
    x = 415,323.08/695
  6. Step 6: Final answer
    x = 597.59

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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.