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Finding the Fourth Proportional to 695.67, 959.98 and 380.93

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Solution

The fourth proportional to 695.67, 959.98 and 380.93 is: 525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.67 : 959.98 = 380.93 : x
  2. Step 2: Convert to fraction form
    695.67/959.98 = 380.93/x
  3. Step 3: Cross multiply
    695.67x = 959.98 × 380.93
  4. Step 4: Simplify right side
    695.67x = 365,685.18
  5. Step 5: Solve for x
    x = 365,685.18/695.67
  6. Step 6: Final answer
    x = 525.66

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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.