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Finding the Fourth Proportional to 388.86, 583.64 and 206.39

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Solution

The fourth proportional to 388.86, 583.64 and 206.39 is: 309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.86 : 583.64 = 206.39 : x
  2. Step 2: Convert to fraction form
    388.86/583.64 = 206.39/x
  3. Step 3: Cross multiply
    388.86x = 583.64 × 206.39
  4. Step 4: Simplify right side
    388.86x = 120,457.46
  5. Step 5: Solve for x
    x = 120,457.46/388.86
  6. Step 6: Final answer
    x = 309.77

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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.