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Finding the Fourth Proportional to 350.68, 484.02 and 257.56

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Solution

The fourth proportional to 350.68, 484.02 and 257.56 is: 355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.68 : 484.02 = 257.56 : x
  2. Step 2: Convert to fraction form
    350.68/484.02 = 257.56/x
  3. Step 3: Cross multiply
    350.68x = 484.02 × 257.56
  4. Step 4: Simplify right side
    350.68x = 124,664.19
  5. Step 5: Solve for x
    x = 124,664.19/350.68
  6. Step 6: Final answer
    x = 355.49

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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.