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Finding the Fourth Proportional to 511.06, 764.82 and 388.63

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Solution

The fourth proportional to 511.06, 764.82 and 388.63 is: 581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.06 : 764.82 = 388.63 : x
  2. Step 2: Convert to fraction form
    511.06/764.82 = 388.63/x
  3. Step 3: Cross multiply
    511.06x = 764.82 × 388.63
  4. Step 4: Simplify right side
    511.06x = 297,232.00
  5. Step 5: Solve for x
    x = 297,232.00/511.06
  6. Step 6: Final answer
    x = 581.60

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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.