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Finding the Fourth Proportional to 405.56, 559.26 and 265.52

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Solution

The fourth proportional to 405.56, 559.26 and 265.52 is: 366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.56 : 559.26 = 265.52 : x
  2. Step 2: Convert to fraction form
    405.56/559.26 = 265.52/x
  3. Step 3: Cross multiply
    405.56x = 559.26 × 265.52
  4. Step 4: Simplify right side
    405.56x = 148,494.72
  5. Step 5: Solve for x
    x = 148,494.72/405.56
  6. Step 6: Final answer
    x = 366.15

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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.