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Finding the Fourth Proportional to 384.57, 577.89 and 211.37

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Solution

The fourth proportional to 384.57, 577.89 and 211.37 is: 317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.57 : 577.89 = 211.37 : x
  2. Step 2: Convert to fraction form
    384.57/577.89 = 211.37/x
  3. Step 3: Cross multiply
    384.57x = 577.89 × 211.37
  4. Step 4: Simplify right side
    384.57x = 122,145.72
  5. Step 5: Solve for x
    x = 122,145.72/384.57
  6. Step 6: Final answer
    x = 317.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.