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Finding the Fourth Proportional to 384.82, 577.23 and 238.99

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Solution

The fourth proportional to 384.82, 577.23 and 238.99 is: 358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.82 : 577.23 = 238.99 : x
  2. Step 2: Convert to fraction form
    384.82/577.23 = 238.99/x
  3. Step 3: Cross multiply
    384.82x = 577.23 × 238.99
  4. Step 4: Simplify right side
    384.82x = 137,950.94
  5. Step 5: Solve for x
    x = 137,950.94/384.82
  6. Step 6: Final answer
    x = 358.48

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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.