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Finding the Fourth Proportional to 950.44, 1,424.50 and 462.40

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Solution

The fourth proportional to 950.44, 1,424.50 and 462.40 is: 693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.44 : 1,424.50 = 462.40 : x
  2. Step 2: Convert to fraction form
    950.44/1,424.50 = 462.40/x
  3. Step 3: Cross multiply
    950.44x = 1,424.50 × 462.40
  4. Step 4: Simplify right side
    950.44x = 658,688.80
  5. Step 5: Solve for x
    x = 658,688.80/950.44
  6. Step 6: Final answer
    x = 693.04

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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.