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Finding the Fourth Proportional to 389.52, 584.37 and 207.06

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Solution

The fourth proportional to 389.52, 584.37 and 207.06 is: 310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.52 : 584.37 = 207.06 : x
  2. Step 2: Convert to fraction form
    389.52/584.37 = 207.06/x
  3. Step 3: Cross multiply
    389.52x = 584.37 × 207.06
  4. Step 4: Simplify right side
    389.52x = 120,999.65
  5. Step 5: Solve for x
    x = 120,999.65/389.52
  6. Step 6: Final answer
    x = 310.64

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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.