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Finding the Fourth Proportional to 950.74, 1,426.11 and 292.51

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Solution

The fourth proportional to 950.74, 1,426.11 and 292.51 is: 438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.74 : 1,426.11 = 292.51 : x
  2. Step 2: Convert to fraction form
    950.74/1,426.11 = 292.51/x
  3. Step 3: Cross multiply
    950.74x = 1,426.11 × 292.51
  4. Step 4: Simplify right side
    950.74x = 417,152.12
  5. Step 5: Solve for x
    x = 417,152.12/950.74
  6. Step 6: Final answer
    x = 438.77

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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.