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Finding the Fourth Proportional to 447.19, 670.53 and 203.48

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Solution

The fourth proportional to 447.19, 670.53 and 203.48 is: 305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.19 : 670.53 = 203.48 : x
  2. Step 2: Convert to fraction form
    447.19/670.53 = 203.48/x
  3. Step 3: Cross multiply
    447.19x = 670.53 × 203.48
  4. Step 4: Simplify right side
    447.19x = 136,441.88
  5. Step 5: Solve for x
    x = 136,441.88/447.19
  6. Step 6: Final answer
    x = 305.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.