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Finding the Fourth Proportional to 405.36, 559.64 and 272.77

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Solution

The fourth proportional to 405.36, 559.64 and 272.77 is: 376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.36 : 559.64 = 272.77 : x
  2. Step 2: Convert to fraction form
    405.36/559.64 = 272.77/x
  3. Step 3: Cross multiply
    405.36x = 559.64 × 272.77
  4. Step 4: Simplify right side
    405.36x = 152,652.29
  5. Step 5: Solve for x
    x = 152,652.29/405.36
  6. Step 6: Final answer
    x = 376.58

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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.