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Finding the Fourth Proportional to 309.63, 426.89 and 257.22

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Solution

The fourth proportional to 309.63, 426.89 and 257.22 is: 354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.63 : 426.89 = 257.22 : x
  2. Step 2: Convert to fraction form
    309.63/426.89 = 257.22/x
  3. Step 3: Cross multiply
    309.63x = 426.89 × 257.22
  4. Step 4: Simplify right side
    309.63x = 109,803.36
  5. Step 5: Solve for x
    x = 109,803.36/309.63
  6. Step 6: Final answer
    x = 354.63

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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.