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Finding the Fourth Proportional to 405.77, 559.83 and 237.64

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Solution

The fourth proportional to 405.77, 559.83 and 237.64 is: 327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.77 : 559.83 = 237.64 : x
  2. Step 2: Convert to fraction form
    405.77/559.83 = 237.64/x
  3. Step 3: Cross multiply
    405.77x = 559.83 × 237.64
  4. Step 4: Simplify right side
    405.77x = 133,036.81
  5. Step 5: Solve for x
    x = 133,036.81/405.77
  6. Step 6: Final answer
    x = 327.86

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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.