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Finding the Fourth Proportional to 950.81, 1,426.14 and 257.51

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Solution

The fourth proportional to 950.81, 1,426.14 and 257.51 is: 386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.81 : 1,426.14 = 257.51 : x
  2. Step 2: Convert to fraction form
    950.81/1,426.14 = 257.51/x
  3. Step 3: Cross multiply
    950.81x = 1,426.14 × 257.51
  4. Step 4: Simplify right side
    950.81x = 367,248.88
  5. Step 5: Solve for x
    x = 367,248.88/950.81
  6. Step 6: Final answer
    x = 386.25

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Why These Related Problems?

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