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Finding the Fourth Proportional to 601.09, 902.18 and 446.65

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Solution

The fourth proportional to 601.09, 902.18 and 446.65 is: 670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.09 : 902.18 = 446.65 : x
  2. Step 2: Convert to fraction form
    601.09/902.18 = 446.65/x
  3. Step 3: Cross multiply
    601.09x = 902.18 × 446.65
  4. Step 4: Simplify right side
    601.09x = 402,958.70
  5. Step 5: Solve for x
    x = 402,958.70/601.09
  6. Step 6: Final answer
    x = 670.38

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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.