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Finding the Fourth Proportional to 390.77, 585.88 and 205.77

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Solution

The fourth proportional to 390.77, 585.88 and 205.77 is: 308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.77 : 585.88 = 205.77 : x
  2. Step 2: Convert to fraction form
    390.77/585.88 = 205.77/x
  3. Step 3: Cross multiply
    390.77x = 585.88 × 205.77
  4. Step 4: Simplify right side
    390.77x = 120,556.01
  5. Step 5: Solve for x
    x = 120,556.01/390.77
  6. Step 6: Final answer
    x = 308.51

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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.