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Finding the Fourth Proportional to 950.94, 1,426.48 and 257.58

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Solution

The fourth proportional to 950.94, 1,426.48 and 257.58 is: 386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.94 : 1,426.48 = 257.58 : x
  2. Step 2: Convert to fraction form
    950.94/1,426.48 = 257.58/x
  3. Step 3: Cross multiply
    950.94x = 1,426.48 × 257.58
  4. Step 4: Simplify right side
    950.94x = 367,432.07
  5. Step 5: Solve for x
    x = 367,432.07/950.94
  6. Step 6: Final answer
    x = 386.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.