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Finding the Fourth Proportional to 695.58, 959.68 and 433.75

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Solution

The fourth proportional to 695.58, 959.68 and 433.75 is: 598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.58 : 959.68 = 433.75 : x
  2. Step 2: Convert to fraction form
    695.58/959.68 = 433.75/x
  3. Step 3: Cross multiply
    695.58x = 959.68 × 433.75
  4. Step 4: Simplify right side
    695.58x = 416,262.94
  5. Step 5: Solve for x
    x = 416,262.94/695.58
  6. Step 6: Final answer
    x = 598.44

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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.