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Finding the Fourth Proportional to 537.24, 805.76 and 229.13

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Solution

The fourth proportional to 537.24, 805.76 and 229.13 is: 343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.24 : 805.76 = 229.13 : x
  2. Step 2: Convert to fraction form
    537.24/805.76 = 229.13/x
  3. Step 3: Cross multiply
    537.24x = 805.76 × 229.13
  4. Step 4: Simplify right side
    537.24x = 184,622.50
  5. Step 5: Solve for x
    x = 184,622.50/537.24
  6. Step 6: Final answer
    x = 343.65

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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.