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Finding the Fourth Proportional to 446.04, 668.52 and 202.32

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Solution

The fourth proportional to 446.04, 668.52 and 202.32 is: 303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.04 : 668.52 = 202.32 : x
  2. Step 2: Convert to fraction form
    446.04/668.52 = 202.32/x
  3. Step 3: Cross multiply
    446.04x = 668.52 × 202.32
  4. Step 4: Simplify right side
    446.04x = 135,254.97
  5. Step 5: Solve for x
    x = 135,254.97/446.04
  6. Step 6: Final answer
    x = 303.24

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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.