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Finding the Fourth Proportional to 695.64, 959.98 and 380.91

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Solution

The fourth proportional to 695.64, 959.98 and 380.91 is: 525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.64 : 959.98 = 380.91 : x
  2. Step 2: Convert to fraction form
    695.64/959.98 = 380.91/x
  3. Step 3: Cross multiply
    695.64x = 959.98 × 380.91
  4. Step 4: Simplify right side
    695.64x = 365,665.98
  5. Step 5: Solve for x
    x = 365,665.98/695.64
  6. Step 6: Final answer
    x = 525.65

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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.