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Finding the Fourth Proportional to 384.82, 577.23 and 214.18

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Solution

The fourth proportional to 384.82, 577.23 and 214.18 is: 321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.82 : 577.23 = 214.18 : x
  2. Step 2: Convert to fraction form
    384.82/577.23 = 214.18/x
  3. Step 3: Cross multiply
    384.82x = 577.23 × 214.18
  4. Step 4: Simplify right side
    384.82x = 123,631.12
  5. Step 5: Solve for x
    x = 123,631.12/384.82
  6. Step 6: Final answer
    x = 321.27

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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.