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Finding the Fourth Proportional to 445.76, 668.65 and 202.24

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Solution

The fourth proportional to 445.76, 668.65 and 202.24 is: 303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.76 : 668.65 = 202.24 : x
  2. Step 2: Convert to fraction form
    445.76/668.65 = 202.24/x
  3. Step 3: Cross multiply
    445.76x = 668.65 × 202.24
  4. Step 4: Simplify right side
    445.76x = 135,225.60
  5. Step 5: Solve for x
    x = 135,225.60/445.76
  6. Step 6: Final answer
    x = 303.36

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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.