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Finding the Fourth Proportional to 293.09, 438.92 and 224.08

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Solution

The fourth proportional to 293.09, 438.92 and 224.08 is: 335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.09 : 438.92 = 224.08 : x
  2. Step 2: Convert to fraction form
    293.09/438.92 = 224.08/x
  3. Step 3: Cross multiply
    293.09x = 438.92 × 224.08
  4. Step 4: Simplify right side
    293.09x = 98,354.29
  5. Step 5: Solve for x
    x = 98,354.29/293.09
  6. Step 6: Final answer
    x = 335.58

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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.