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Finding the Fourth Proportional to 695.57, 959.49 and 433.74

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Solution

The fourth proportional to 695.57, 959.49 and 433.74 is: 598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.57 : 959.49 = 433.74 : x
  2. Step 2: Convert to fraction form
    695.57/959.49 = 433.74/x
  3. Step 3: Cross multiply
    695.57x = 959.49 × 433.74
  4. Step 4: Simplify right side
    695.57x = 416,169.19
  5. Step 5: Solve for x
    x = 416,169.19/695.57
  6. Step 6: Final answer
    x = 598.32

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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.