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Finding the Fourth Proportional to 511.36, 767.52 and 223.04

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Solution

The fourth proportional to 511.36, 767.52 and 223.04 is: 334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.36 : 767.52 = 223.04 : x
  2. Step 2: Convert to fraction form
    511.36/767.52 = 223.04/x
  3. Step 3: Cross multiply
    511.36x = 767.52 × 223.04
  4. Step 4: Simplify right side
    511.36x = 171,187.66
  5. Step 5: Solve for x
    x = 171,187.66/511.36
  6. Step 6: Final answer
    x = 334.77

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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.