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Finding the Fourth Proportional to 405.50, 559.40 and 248.08

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Solution

The fourth proportional to 405.50, 559.40 and 248.08 is: 342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.50 : 559.40 = 248.08 : x
  2. Step 2: Convert to fraction form
    405.50/559.40 = 248.08/x
  3. Step 3: Cross multiply
    405.50x = 559.40 × 248.08
  4. Step 4: Simplify right side
    405.50x = 138,775.95
  5. Step 5: Solve for x
    x = 138,775.95/405.50
  6. Step 6: Final answer
    x = 342.23

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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.