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Finding the Fourth Proportional to 601.87, 830.73 and 380.83

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Solution

The fourth proportional to 601.87, 830.73 and 380.83 is: 525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.87 : 830.73 = 380.83 : x
  2. Step 2: Convert to fraction form
    601.87/830.73 = 380.83/x
  3. Step 3: Cross multiply
    601.87x = 830.73 × 380.83
  4. Step 4: Simplify right side
    601.87x = 316,366.91
  5. Step 5: Solve for x
    x = 316,366.91/601.87
  6. Step 6: Final answer
    x = 525.64

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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.