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Finding the Fourth Proportional to 523.44, 784.14 and 414.90

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Solution

The fourth proportional to 523.44, 784.14 and 414.90 is: 621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.44 : 784.14 = 414.90 : x
  2. Step 2: Convert to fraction form
    523.44/784.14 = 414.90/x
  3. Step 3: Cross multiply
    523.44x = 784.14 × 414.90
  4. Step 4: Simplify right side
    523.44x = 325,339.69
  5. Step 5: Solve for x
    x = 325,339.69/523.44
  6. Step 6: Final answer
    x = 621.54

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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.