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Finding the Fourth Proportional to 389.18, 583.60 and 206.54

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Solution

The fourth proportional to 389.18, 583.60 and 206.54 is: 309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.18 : 583.60 = 206.54 : x
  2. Step 2: Convert to fraction form
    389.18/583.60 = 206.54/x
  3. Step 3: Cross multiply
    389.18x = 583.60 × 206.54
  4. Step 4: Simplify right side
    389.18x = 120,533.83
  5. Step 5: Solve for x
    x = 120,533.83/389.18
  6. Step 6: Final answer
    x = 309.71

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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.