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Finding the Fourth Proportional to 948.80, 1,423.19 and 299.54

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Solution

The fourth proportional to 948.80, 1,423.19 and 299.54 is: 449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.80 : 1,423.19 = 299.54 : x
  2. Step 2: Convert to fraction form
    948.80/1,423.19 = 299.54/x
  3. Step 3: Cross multiply
    948.80x = 1,423.19 × 299.54
  4. Step 4: Simplify right side
    948.80x = 426,306.64
  5. Step 5: Solve for x
    x = 426,306.64/948.80
  6. Step 6: Final answer
    x = 449.31

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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.