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Finding the Fourth Proportional to 511.68, 767.76 and 223.32

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Solution

The fourth proportional to 511.68, 767.76 and 223.32 is: 335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.68 : 767.76 = 223.32 : x
  2. Step 2: Convert to fraction form
    511.68/767.76 = 223.32/x
  3. Step 3: Cross multiply
    511.68x = 767.76 × 223.32
  4. Step 4: Simplify right side
    511.68x = 171,456.16
  5. Step 5: Solve for x
    x = 171,456.16/511.68
  6. Step 6: Final answer
    x = 335.08

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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.