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Finding the Fourth Proportional to 295.24, 407.16 and 274.44

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Solution

The fourth proportional to 295.24, 407.16 and 274.44 is: 378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.24 : 407.16 = 274.44 : x
  2. Step 2: Convert to fraction form
    295.24/407.16 = 274.44/x
  3. Step 3: Cross multiply
    295.24x = 407.16 × 274.44
  4. Step 4: Simplify right side
    295.24x = 111,740.99
  5. Step 5: Solve for x
    x = 111,740.99/295.24
  6. Step 6: Final answer
    x = 378.48

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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.