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Finding the Fourth Proportional to 409.02, 613.53 and 287.83

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Solution

The fourth proportional to 409.02, 613.53 and 287.83 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.02 : 613.53 = 287.83 : x
  2. Step 2: Convert to fraction form
    409.02/613.53 = 287.83/x
  3. Step 3: Cross multiply
    409.02x = 613.53 × 287.83
  4. Step 4: Simplify right side
    409.02x = 176,589.27
  5. Step 5: Solve for x
    x = 176,589.27/409.02
  6. Step 6: Final answer
    x = 431.74

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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.