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Finding the Fourth Proportional to 303.31, 416.03 and 285.67

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Solution

The fourth proportional to 303.31, 416.03 and 285.67 is: 391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.31 : 416.03 = 285.67 : x
  2. Step 2: Convert to fraction form
    303.31/416.03 = 285.67/x
  3. Step 3: Cross multiply
    303.31x = 416.03 × 285.67
  4. Step 4: Simplify right side
    303.31x = 118,847.29
  5. Step 5: Solve for x
    x = 118,847.29/303.31
  6. Step 6: Final answer
    x = 391.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.