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Finding the Fourth Proportional to 395.60, 544.56 and 340.22

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Solution

The fourth proportional to 395.60, 544.56 and 340.22 is: 468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.60 : 544.56 = 340.22 : x
  2. Step 2: Convert to fraction form
    395.60/544.56 = 340.22/x
  3. Step 3: Cross multiply
    395.60x = 544.56 × 340.22
  4. Step 4: Simplify right side
    395.60x = 185,270.20
  5. Step 5: Solve for x
    x = 185,270.20/395.60
  6. Step 6: Final answer
    x = 468.33

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Why These Related Problems?

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