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Finding the Fourth Proportional to 390.97, 586.55 and 208.54

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Solution

The fourth proportional to 390.97, 586.55 and 208.54 is: 312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.97 : 586.55 = 208.54 : x
  2. Step 2: Convert to fraction form
    390.97/586.55 = 208.54/x
  3. Step 3: Cross multiply
    390.97x = 586.55 × 208.54
  4. Step 4: Simplify right side
    390.97x = 122,319.14
  5. Step 5: Solve for x
    x = 122,319.14/390.97
  6. Step 6: Final answer
    x = 312.86

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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.