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Finding the Fourth Proportional to 405.45, 559.45 and 248

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Solution

The fourth proportional to 405.45, 559.45 and 248 is: 342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.45 : 559.45 = 248 : x
  2. Step 2: Convert to fraction form
    405.45/559.45 = 248/x
  3. Step 3: Cross multiply
    405.45x = 559.45 × 248
  4. Step 4: Simplify right side
    405.45x = 138,743.60
  5. Step 5: Solve for x
    x = 138,743.60/405.45
  6. Step 6: Final answer
    x = 342.20

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