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Finding the Fourth Proportional to 607.86, 912.12 and 299.79

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Solution

The fourth proportional to 607.86, 912.12 and 299.79 is: 449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.86 : 912.12 = 299.79 : x
  2. Step 2: Convert to fraction form
    607.86/912.12 = 299.79/x
  3. Step 3: Cross multiply
    607.86x = 912.12 × 299.79
  4. Step 4: Simplify right side
    607.86x = 273,439.89
  5. Step 5: Solve for x
    x = 273,439.89/607.86
  6. Step 6: Final answer
    x = 449.84

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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.