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Finding the Fourth Proportional to 350.63, 484.29 and 257.24

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Solution

The fourth proportional to 350.63, 484.29 and 257.24 is: 355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.63 : 484.29 = 257.24 : x
  2. Step 2: Convert to fraction form
    350.63/484.29 = 257.24/x
  3. Step 3: Cross multiply
    350.63x = 484.29 × 257.24
  4. Step 4: Simplify right side
    350.63x = 124,578.76
  5. Step 5: Solve for x
    x = 124,578.76/350.63
  6. Step 6: Final answer
    x = 355.30

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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.