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Finding the Fourth Proportional to 300.42, 416.70 and 289.49

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Solution

The fourth proportional to 300.42, 416.70 and 289.49 is: 401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.42 : 416.70 = 289.49 : x
  2. Step 2: Convert to fraction form
    300.42/416.70 = 289.49/x
  3. Step 3: Cross multiply
    300.42x = 416.70 × 289.49
  4. Step 4: Simplify right side
    300.42x = 120,628.40
  5. Step 5: Solve for x
    x = 120,628.40/300.42
  6. Step 6: Final answer
    x = 401.53

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.