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Finding the Fourth Proportional to 557.76, 769.36 and 463.96

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Solution

The fourth proportional to 557.76, 769.36 and 463.96 is: 639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.76 : 769.36 = 463.96 : x
  2. Step 2: Convert to fraction form
    557.76/769.36 = 463.96/x
  3. Step 3: Cross multiply
    557.76x = 769.36 × 463.96
  4. Step 4: Simplify right side
    557.76x = 356,952.27
  5. Step 5: Solve for x
    x = 356,952.27/557.76
  6. Step 6: Final answer
    x = 639.97

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