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Finding the Fourth Proportional to 445.05, 668.52 and 430.47

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Solution

The fourth proportional to 445.05, 668.52 and 430.47 is: 646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.05 : 668.52 = 430.47 : x
  2. Step 2: Convert to fraction form
    445.05/668.52 = 430.47/x
  3. Step 3: Cross multiply
    445.05x = 668.52 × 430.47
  4. Step 4: Simplify right side
    445.05x = 287,777.80
  5. Step 5: Solve for x
    x = 287,777.80/445.05
  6. Step 6: Final answer
    x = 646.62

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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.