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Finding the Fourth Proportional to 601.88, 830.59 and 325.88

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Solution

The fourth proportional to 601.88, 830.59 and 325.88 is: 449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.88 : 830.59 = 325.88 : x
  2. Step 2: Convert to fraction form
    601.88/830.59 = 325.88/x
  3. Step 3: Cross multiply
    601.88x = 830.59 × 325.88
  4. Step 4: Simplify right side
    601.88x = 270,667.70
  5. Step 5: Solve for x
    x = 270,667.70/601.88
  6. Step 6: Final answer
    x = 449.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.