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Finding the Fourth Proportional to 993.46, 1,489.65 and 300.02

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Solution

The fourth proportional to 993.46, 1,489.65 and 300.02 is: 449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.46 : 1,489.65 = 300.02 : x
  2. Step 2: Convert to fraction form
    993.46/1,489.65 = 300.02/x
  3. Step 3: Cross multiply
    993.46x = 1,489.65 × 300.02
  4. Step 4: Simplify right side
    993.46x = 446,924.79
  5. Step 5: Solve for x
    x = 446,924.79/993.46
  6. Step 6: Final answer
    x = 449.87

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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.