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Finding the Fourth Proportional to 295.48, 406.86 and 289.09

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Solution

The fourth proportional to 295.48, 406.86 and 289.09 is: 398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.48 : 406.86 = 289.09 : x
  2. Step 2: Convert to fraction form
    295.48/406.86 = 289.09/x
  3. Step 3: Cross multiply
    295.48x = 406.86 × 289.09
  4. Step 4: Simplify right side
    295.48x = 117,619.16
  5. Step 5: Solve for x
    x = 117,619.16/295.48
  6. Step 6: Final answer
    x = 398.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.