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Finding the Fourth Proportional to 601.87, 830.49 and 336.25

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Solution

The fourth proportional to 601.87, 830.49 and 336.25 is: 463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.87 : 830.49 = 336.25 : x
  2. Step 2: Convert to fraction form
    601.87/830.49 = 336.25/x
  3. Step 3: Cross multiply
    601.87x = 830.49 × 336.25
  4. Step 4: Simplify right side
    601.87x = 279,252.26
  5. Step 5: Solve for x
    x = 279,252.26/601.87
  6. Step 6: Final answer
    x = 463.97

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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.