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Finding the Fourth Proportional to 384.30, 575.49 and 222.09

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Solution

The fourth proportional to 384.30, 575.49 and 222.09 is: 332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.30 : 575.49 = 222.09 : x
  2. Step 2: Convert to fraction form
    384.30/575.49 = 222.09/x
  3. Step 3: Cross multiply
    384.30x = 575.49 × 222.09
  4. Step 4: Simplify right side
    384.30x = 127,810.57
  5. Step 5: Solve for x
    x = 127,810.57/384.30
  6. Step 6: Final answer
    x = 332.58

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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.