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Finding the Fourth Proportional to 557.85, 769.81 and 305.77

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Solution

The fourth proportional to 557.85, 769.81 and 305.77 is: 421.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.85 : 769.81 = 305.77 : x
  2. Step 2: Convert to fraction form
    557.85/769.81 = 305.77/x
  3. Step 3: Cross multiply
    557.85x = 769.81 × 305.77
  4. Step 4: Simplify right side
    557.85x = 235,384.56
  5. Step 5: Solve for x
    x = 235,384.56/557.85
  6. Step 6: Final answer
    x = 421.95

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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.