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Finding the Fourth Proportional to 949.19, 1,424.00 and 299.91

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Solution

The fourth proportional to 949.19, 1,424.00 and 299.91 is: 449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.19 : 1,424.00 = 299.91 : x
  2. Step 2: Convert to fraction form
    949.19/1,424.00 = 299.91/x
  3. Step 3: Cross multiply
    949.19x = 1,424.00 × 299.91
  4. Step 4: Simplify right side
    949.19x = 427,070.34
  5. Step 5: Solve for x
    x = 427,070.34/949.19
  6. Step 6: Final answer
    x = 449.93

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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.