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Finding the Fourth Proportional to 389.00, 583.61 and 206.35

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Solution

The fourth proportional to 389.00, 583.61 and 206.35 is: 309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.00 : 583.61 = 206.35 : x
  2. Step 2: Convert to fraction form
    389.00/583.61 = 206.35/x
  3. Step 3: Cross multiply
    389.00x = 583.61 × 206.35
  4. Step 4: Simplify right side
    389.00x = 120,425.43
  5. Step 5: Solve for x
    x = 120,425.43/389.00
  6. Step 6: Final answer
    x = 309.57

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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.