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Finding the Fourth Proportional to 309.76, 427.44 and 247.74

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Solution

The fourth proportional to 309.76, 427.44 and 247.74 is: 341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 427.44 = 247.74 : x
  2. Step 2: Convert to fraction form
    309.76/427.44 = 247.74/x
  3. Step 3: Cross multiply
    309.76x = 427.44 × 247.74
  4. Step 4: Simplify right side
    309.76x = 105,893.99
  5. Step 5: Solve for x
    x = 105,893.99/309.76
  6. Step 6: Final answer
    x = 341.86

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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.