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Finding the Fourth Proportional to 405.06, 559.14 and 255.68

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Solution

The fourth proportional to 405.06, 559.14 and 255.68 is: 352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.06 : 559.14 = 255.68 : x
  2. Step 2: Convert to fraction form
    405.06/559.14 = 255.68/x
  3. Step 3: Cross multiply
    405.06x = 559.14 × 255.68
  4. Step 4: Simplify right side
    405.06x = 142,959.08
  5. Step 5: Solve for x
    x = 142,959.08/405.06
  6. Step 6: Final answer
    x = 352.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.