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Finding the Fourth Proportional to 305.85, 424.02 and 289.44

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Solution

The fourth proportional to 305.85, 424.02 and 289.44 is: 401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.85 : 424.02 = 289.44 : x
  2. Step 2: Convert to fraction form
    305.85/424.02 = 289.44/x
  3. Step 3: Cross multiply
    305.85x = 424.02 × 289.44
  4. Step 4: Simplify right side
    305.85x = 122,728.35
  5. Step 5: Solve for x
    x = 122,728.35/305.85
  6. Step 6: Final answer
    x = 401.27

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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.