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Finding the Fourth Proportional to 501.08, 750.52 and 226.76

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Solution

The fourth proportional to 501.08, 750.52 and 226.76 is: 339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.08 : 750.52 = 226.76 : x
  2. Step 2: Convert to fraction form
    501.08/750.52 = 226.76/x
  3. Step 3: Cross multiply
    501.08x = 750.52 × 226.76
  4. Step 4: Simplify right side
    501.08x = 170,187.92
  5. Step 5: Solve for x
    x = 170,187.92/501.08
  6. Step 6: Final answer
    x = 339.64

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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.