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Finding the Fourth Proportional to 695.60, 959.76 and 433.44

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Solution

The fourth proportional to 695.60, 959.76 and 433.44 is: 598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.60 : 959.76 = 433.44 : x
  2. Step 2: Convert to fraction form
    695.60/959.76 = 433.44/x
  3. Step 3: Cross multiply
    695.60x = 959.76 × 433.44
  4. Step 4: Simplify right side
    695.60x = 415,998.37
  5. Step 5: Solve for x
    x = 415,998.37/695.60
  6. Step 6: Final answer
    x = 598.04

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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.