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Finding the Fourth Proportional to 309.72, 464.74 and 219.00

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Solution

The fourth proportional to 309.72, 464.74 and 219.00 is: 328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.72 : 464.74 = 219.00 : x
  2. Step 2: Convert to fraction form
    309.72/464.74 = 219.00/x
  3. Step 3: Cross multiply
    309.72x = 464.74 × 219.00
  4. Step 4: Simplify right side
    309.72x = 101,779.26
  5. Step 5: Solve for x
    x = 101,779.26/309.72
  6. Step 6: Final answer
    x = 328.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.