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Finding the Fourth Proportional to 445.47, 668.22 and 299.10

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Solution

The fourth proportional to 445.47, 668.22 and 299.10 is: 448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.47 : 668.22 = 299.10 : x
  2. Step 2: Convert to fraction form
    445.47/668.22 = 299.10/x
  3. Step 3: Cross multiply
    445.47x = 668.22 × 299.10
  4. Step 4: Simplify right side
    445.47x = 199,864.60
  5. Step 5: Solve for x
    x = 199,864.60/445.47
  6. Step 6: Final answer
    x = 448.66

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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.