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Finding the Fourth Proportional to 695.71, 959.80 and 415.88

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Solution

The fourth proportional to 695.71, 959.80 and 415.88 is: 573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.71 : 959.80 = 415.88 : x
  2. Step 2: Convert to fraction form
    695.71/959.80 = 415.88/x
  3. Step 3: Cross multiply
    695.71x = 959.80 × 415.88
  4. Step 4: Simplify right side
    695.71x = 399,161.62
  5. Step 5: Solve for x
    x = 399,161.62/695.71
  6. Step 6: Final answer
    x = 573.75

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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.