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Finding the Fourth Proportional to 291.04, 434.72 and 226.24

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Solution

The fourth proportional to 291.04, 434.72 and 226.24 is: 337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.04 : 434.72 = 226.24 : x
  2. Step 2: Convert to fraction form
    291.04/434.72 = 226.24/x
  3. Step 3: Cross multiply
    291.04x = 434.72 × 226.24
  4. Step 4: Simplify right side
    291.04x = 98,351.05
  5. Step 5: Solve for x
    x = 98,351.05/291.04
  6. Step 6: Final answer
    x = 337.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.