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Finding the Fourth Proportional to 601.96, 830.39 and 380.83

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Solution

The fourth proportional to 601.96, 830.39 and 380.83 is: 525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.96 : 830.39 = 380.83 : x
  2. Step 2: Convert to fraction form
    601.96/830.39 = 380.83/x
  3. Step 3: Cross multiply
    601.96x = 830.39 × 380.83
  4. Step 4: Simplify right side
    601.96x = 316,233.44
  5. Step 5: Solve for x
    x = 316,233.44/601.96
  6. Step 6: Final answer
    x = 525.34

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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.