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Finding the Fourth Proportional to 445.42, 614.73 and 334.71

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Solution

The fourth proportional to 445.42, 614.73 and 334.71 is: 461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.42 : 614.73 = 334.71 : x
  2. Step 2: Convert to fraction form
    445.42/614.73 = 334.71/x
  3. Step 3: Cross multiply
    445.42x = 614.73 × 334.71
  4. Step 4: Simplify right side
    445.42x = 205,756.28
  5. Step 5: Solve for x
    x = 205,756.28/445.42
  6. Step 6: Final answer
    x = 461.94

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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.