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Finding the Fourth Proportional to 309.63, 464.52 and 104.19

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Solution

The fourth proportional to 309.63, 464.52 and 104.19 is: 156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.63 : 464.52 = 104.19 : x
  2. Step 2: Convert to fraction form
    309.63/464.52 = 104.19/x
  3. Step 3: Cross multiply
    309.63x = 464.52 × 104.19
  4. Step 4: Simplify right side
    309.63x = 48,398.34
  5. Step 5: Solve for x
    x = 48,398.34/309.63
  6. Step 6: Final answer
    x = 156.31

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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.