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Finding the Fourth Proportional to 949.22, 1,423.98 and 299.95

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Solution

The fourth proportional to 949.22, 1,423.98 and 299.95 is: 449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.22 : 1,423.98 = 299.95 : x
  2. Step 2: Convert to fraction form
    949.22/1,423.98 = 299.95/x
  3. Step 3: Cross multiply
    949.22x = 1,423.98 × 299.95
  4. Step 4: Simplify right side
    949.22x = 427,127.25
  5. Step 5: Solve for x
    x = 427,127.25/949.22
  6. Step 6: Final answer
    x = 449.98

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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.