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Finding the Fourth Proportional to 598.75, 825.81 and 377.62

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Solution

The fourth proportional to 598.75, 825.81 and 377.62 is: 520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.75 : 825.81 = 377.62 : x
  2. Step 2: Convert to fraction form
    598.75/825.81 = 377.62/x
  3. Step 3: Cross multiply
    598.75x = 825.81 × 377.62
  4. Step 4: Simplify right side
    598.75x = 311,842.37
  5. Step 5: Solve for x
    x = 311,842.37/598.75
  6. Step 6: Final answer
    x = 520.82

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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.