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Finding the Fourth Proportional to 557.21, 769.27 and 370.96

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Solution

The fourth proportional to 557.21, 769.27 and 370.96 is: 512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.21 : 769.27 = 370.96 : x
  2. Step 2: Convert to fraction form
    557.21/769.27 = 370.96/x
  3. Step 3: Cross multiply
    557.21x = 769.27 × 370.96
  4. Step 4: Simplify right side
    557.21x = 285,368.40
  5. Step 5: Solve for x
    x = 285,368.40/557.21
  6. Step 6: Final answer
    x = 512.14

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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.