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Finding the Fourth Proportional to 557.09, 768.77 and 305.01

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Solution

The fourth proportional to 557.09, 768.77 and 305.01 is: 420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.09 : 768.77 = 305.01 : x
  2. Step 2: Convert to fraction form
    557.09/768.77 = 305.01/x
  3. Step 3: Cross multiply
    557.09x = 768.77 × 305.01
  4. Step 4: Simplify right side
    557.09x = 234,481.01
  5. Step 5: Solve for x
    x = 234,481.01/557.09
  6. Step 6: Final answer
    x = 420.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.