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Finding the Fourth Proportional to 557.82, 769.77 and 305.76

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Solution

The fourth proportional to 557.82, 769.77 and 305.76 is: 421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.82 : 769.77 = 305.76 : x
  2. Step 2: Convert to fraction form
    557.82/769.77 = 305.76/x
  3. Step 3: Cross multiply
    557.82x = 769.77 × 305.76
  4. Step 4: Simplify right side
    557.82x = 235,364.88
  5. Step 5: Solve for x
    x = 235,364.88/557.82
  6. Step 6: Final answer
    x = 421.94

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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.