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Finding the Fourth Proportional to 445.16, 666.60 and 409.52

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Solution

The fourth proportional to 445.16, 666.60 and 409.52 is: 613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.16 : 666.60 = 409.52 : x
  2. Step 2: Convert to fraction form
    445.16/666.60 = 409.52/x
  3. Step 3: Cross multiply
    445.16x = 666.60 × 409.52
  4. Step 4: Simplify right side
    445.16x = 272,986.03
  5. Step 5: Solve for x
    x = 272,986.03/445.16
  6. Step 6: Final answer
    x = 613.23

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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.