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Finding the Fourth Proportional to 309.49, 426.73 and 257.10

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Solution

The fourth proportional to 309.49, 426.73 and 257.10 is: 354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.49 : 426.73 = 257.10 : x
  2. Step 2: Convert to fraction form
    309.49/426.73 = 257.10/x
  3. Step 3: Cross multiply
    309.49x = 426.73 × 257.10
  4. Step 4: Simplify right side
    309.49x = 109,712.28
  5. Step 5: Solve for x
    x = 109,712.28/309.49
  6. Step 6: Final answer
    x = 354.49

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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.