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Finding the Fourth Proportional to 418.42, 627.94 and 202.14

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Solution

The fourth proportional to 418.42, 627.94 and 202.14 is: 303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.42 : 627.94 = 202.14 : x
  2. Step 2: Convert to fraction form
    418.42/627.94 = 202.14/x
  3. Step 3: Cross multiply
    418.42x = 627.94 × 202.14
  4. Step 4: Simplify right side
    418.42x = 126,931.79
  5. Step 5: Solve for x
    x = 126,931.79/418.42
  6. Step 6: Final answer
    x = 303.36

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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.