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Finding the Fourth Proportional to 405.98, 560.22 and 248.60

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Solution

The fourth proportional to 405.98, 560.22 and 248.60 is: 343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.98 : 560.22 = 248.60 : x
  2. Step 2: Convert to fraction form
    405.98/560.22 = 248.60/x
  3. Step 3: Cross multiply
    405.98x = 560.22 × 248.60
  4. Step 4: Simplify right side
    405.98x = 139,270.69
  5. Step 5: Solve for x
    x = 139,270.69/405.98
  6. Step 6: Final answer
    x = 343.05

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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.