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Finding the Fourth Proportional to 446.92, 667.10 and 395.08

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Solution

The fourth proportional to 446.92, 667.10 and 395.08 is: 589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.92 : 667.10 = 395.08 : x
  2. Step 2: Convert to fraction form
    446.92/667.10 = 395.08/x
  3. Step 3: Cross multiply
    446.92x = 667.10 × 395.08
  4. Step 4: Simplify right side
    446.92x = 263,557.19
  5. Step 5: Solve for x
    x = 263,557.19/446.92
  6. Step 6: Final answer
    x = 589.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.