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Finding the Fourth Proportional to 405.56, 559.02 and 274.52

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Solution

The fourth proportional to 405.56, 559.02 and 274.52 is: 378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.56 : 559.02 = 274.52 : x
  2. Step 2: Convert to fraction form
    405.56/559.02 = 274.52/x
  3. Step 3: Cross multiply
    405.56x = 559.02 × 274.52
  4. Step 4: Simplify right side
    405.56x = 153,462.17
  5. Step 5: Solve for x
    x = 153,462.17/405.56
  6. Step 6: Final answer
    x = 378.40

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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.