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Finding the Fourth Proportional to 407.22, 561.55 and 274.28

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Solution

The fourth proportional to 407.22, 561.55 and 274.28 is: 378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.22 : 561.55 = 274.28 : x
  2. Step 2: Convert to fraction form
    407.22/561.55 = 274.28/x
  3. Step 3: Cross multiply
    407.22x = 561.55 × 274.28
  4. Step 4: Simplify right side
    407.22x = 154,020.56
  5. Step 5: Solve for x
    x = 154,020.56/407.22
  6. Step 6: Final answer
    x = 378.22

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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.