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Finding the Fourth Proportional to 418.61, 628.02 and 202.18

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Solution

The fourth proportional to 418.61, 628.02 and 202.18 is: 303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.61 : 628.02 = 202.18 : x
  2. Step 2: Convert to fraction form
    418.61/628.02 = 202.18/x
  3. Step 3: Cross multiply
    418.61x = 628.02 × 202.18
  4. Step 4: Simplify right side
    418.61x = 126,975.77
  5. Step 5: Solve for x
    x = 126,975.77/418.61
  6. Step 6: Final answer
    x = 303.33

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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.