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Finding the Fourth Proportional to 405.50, 559.37 and 257.88

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Solution

The fourth proportional to 405.50, 559.37 and 257.88 is: 355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.50 : 559.37 = 257.88 : x
  2. Step 2: Convert to fraction form
    405.50/559.37 = 257.88/x
  3. Step 3: Cross multiply
    405.50x = 559.37 × 257.88
  4. Step 4: Simplify right side
    405.50x = 144,249.05
  5. Step 5: Solve for x
    x = 144,249.05/405.50
  6. Step 6: Final answer
    x = 355.74

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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.