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Finding the Fourth Proportional to 299.93, 447.65 and 292.64

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Solution

The fourth proportional to 299.93, 447.65 and 292.64 is: 436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.93 : 447.65 = 292.64 : x
  2. Step 2: Convert to fraction form
    299.93/447.65 = 292.64/x
  3. Step 3: Cross multiply
    299.93x = 447.65 × 292.64
  4. Step 4: Simplify right side
    299.93x = 130,997.69
  5. Step 5: Solve for x
    x = 130,997.69/299.93
  6. Step 6: Final answer
    x = 436.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.