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Finding the Fourth Proportional to 389.78, 584.80 and 216.64

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Solution

The fourth proportional to 389.78, 584.80 and 216.64 is: 325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.78 : 584.80 = 216.64 : x
  2. Step 2: Convert to fraction form
    389.78/584.80 = 216.64/x
  3. Step 3: Cross multiply
    389.78x = 584.80 × 216.64
  4. Step 4: Simplify right side
    389.78x = 126,691.07
  5. Step 5: Solve for x
    x = 126,691.07/389.78
  6. Step 6: Final answer
    x = 325.03

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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.