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Finding the Fourth Proportional to 445.48, 666.62 and 382.12

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Solution

The fourth proportional to 445.48, 666.62 and 382.12 is: 571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.48 : 666.62 = 382.12 : x
  2. Step 2: Convert to fraction form
    445.48/666.62 = 382.12/x
  3. Step 3: Cross multiply
    445.48x = 666.62 × 382.12
  4. Step 4: Simplify right side
    445.48x = 254,728.83
  5. Step 5: Solve for x
    x = 254,728.83/445.48
  6. Step 6: Final answer
    x = 571.81

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Why These Related Problems?

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