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Finding the Fourth Proportional to 467.14, 645.11 and 350.50

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Solution

The fourth proportional to 467.14, 645.11 and 350.50 is: 484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.14 : 645.11 = 350.50 : x
  2. Step 2: Convert to fraction form
    467.14/645.11 = 350.50/x
  3. Step 3: Cross multiply
    467.14x = 645.11 × 350.50
  4. Step 4: Simplify right side
    467.14x = 226,111.06
  5. Step 5: Solve for x
    x = 226,111.06/467.14
  6. Step 6: Final answer
    x = 484.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.