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Finding the Fourth Proportional to 445.36, 666.60 and 414.40

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Solution

The fourth proportional to 445.36, 666.60 and 414.40 is: 620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.36 : 666.60 = 414.40 : x
  2. Step 2: Convert to fraction form
    445.36/666.60 = 414.40/x
  3. Step 3: Cross multiply
    445.36x = 666.60 × 414.40
  4. Step 4: Simplify right side
    445.36x = 276,239.04
  5. Step 5: Solve for x
    x = 276,239.04/445.36
  6. Step 6: Final answer
    x = 620.26

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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.