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Finding the Fourth Proportional to 389.08, 583.14 and 206.32

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Solution

The fourth proportional to 389.08, 583.14 and 206.32 is: 309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.08 : 583.14 = 206.32 : x
  2. Step 2: Convert to fraction form
    389.08/583.14 = 206.32/x
  3. Step 3: Cross multiply
    389.08x = 583.14 × 206.32
  4. Step 4: Simplify right side
    389.08x = 120,313.44
  5. Step 5: Solve for x
    x = 120,313.44/389.08
  6. Step 6: Final answer
    x = 309.23

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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.