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Finding the Fourth Proportional to 390.78, 586.71 and 208.26

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Solution

The fourth proportional to 390.78, 586.71 and 208.26 is: 312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.78 : 586.71 = 208.26 : x
  2. Step 2: Convert to fraction form
    390.78/586.71 = 208.26/x
  3. Step 3: Cross multiply
    390.78x = 586.71 × 208.26
  4. Step 4: Simplify right side
    390.78x = 122,188.22
  5. Step 5: Solve for x
    x = 122,188.22/390.78
  6. Step 6: Final answer
    x = 312.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.