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Finding the Fourth Proportional to 446.46, 668.19 and 429.42

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Solution

The fourth proportional to 446.46, 668.19 and 429.42 is: 642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.46 : 668.19 = 429.42 : x
  2. Step 2: Convert to fraction form
    446.46/668.19 = 429.42/x
  3. Step 3: Cross multiply
    446.46x = 668.19 × 429.42
  4. Step 4: Simplify right side
    446.46x = 286,934.15
  5. Step 5: Solve for x
    x = 286,934.15/446.46
  6. Step 6: Final answer
    x = 642.69

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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.