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Finding the Fourth Proportional to 523.10, 784.64 and 419.87

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Solution

The fourth proportional to 523.10, 784.64 and 419.87 is: 629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.10 : 784.64 = 419.87 : x
  2. Step 2: Convert to fraction form
    523.10/784.64 = 419.87/x
  3. Step 3: Cross multiply
    523.10x = 784.64 × 419.87
  4. Step 4: Simplify right side
    523.10x = 329,446.80
  5. Step 5: Solve for x
    x = 329,446.80/523.10
  6. Step 6: Final answer
    x = 629.80

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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.