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Finding the Fourth Proportional to 388.93, 583.74 and 206.45

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Solution

The fourth proportional to 388.93, 583.74 and 206.45 is: 309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.93 : 583.74 = 206.45 : x
  2. Step 2: Convert to fraction form
    388.93/583.74 = 206.45/x
  3. Step 3: Cross multiply
    388.93x = 583.74 × 206.45
  4. Step 4: Simplify right side
    388.93x = 120,513.12
  5. Step 5: Solve for x
    x = 120,513.12/388.93
  6. Step 6: Final answer
    x = 309.86

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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.