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Finding the Fourth Proportional to 295.36, 405.20 and 278.80

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Solution

The fourth proportional to 295.36, 405.20 and 278.80 is: 382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.36 : 405.20 = 278.80 : x
  2. Step 2: Convert to fraction form
    295.36/405.20 = 278.80/x
  3. Step 3: Cross multiply
    295.36x = 405.20 × 278.80
  4. Step 4: Simplify right side
    295.36x = 112,969.76
  5. Step 5: Solve for x
    x = 112,969.76/295.36
  6. Step 6: Final answer
    x = 382.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.