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Finding the Fourth Proportional to 445.07, 666.23 and 407.27

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Solution

The fourth proportional to 445.07, 666.23 and 407.27 is: 609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.07 : 666.23 = 407.27 : x
  2. Step 2: Convert to fraction form
    445.07/666.23 = 407.27/x
  3. Step 3: Cross multiply
    445.07x = 666.23 × 407.27
  4. Step 4: Simplify right side
    445.07x = 271,330.12
  5. Step 5: Solve for x
    x = 271,330.12/445.07
  6. Step 6: Final answer
    x = 609.64

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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.