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Finding the Fourth Proportional to 601.91, 901.94 and 447.11

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Solution

The fourth proportional to 601.91, 901.94 and 447.11 is: 669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.91 : 901.94 = 447.11 : x
  2. Step 2: Convert to fraction form
    601.91/901.94 = 447.11/x
  3. Step 3: Cross multiply
    601.91x = 901.94 × 447.11
  4. Step 4: Simplify right side
    601.91x = 403,263.00
  5. Step 5: Solve for x
    x = 403,263.00/601.91
  6. Step 6: Final answer
    x = 669.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.