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Finding the Fourth Proportional to 948.68, 1,423.24 and 299.41

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Solution

The fourth proportional to 948.68, 1,423.24 and 299.41 is: 449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.68 : 1,423.24 = 299.41 : x
  2. Step 2: Convert to fraction form
    948.68/1,423.24 = 299.41/x
  3. Step 3: Cross multiply
    948.68x = 1,423.24 × 299.41
  4. Step 4: Simplify right side
    948.68x = 426,132.29
  5. Step 5: Solve for x
    x = 426,132.29/948.68
  6. Step 6: Final answer
    x = 449.18

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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.