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Finding the Fourth Proportional to 619.56, 855.36 and 423.36

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Solution

The fourth proportional to 619.56, 855.36 and 423.36 is: 584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.56 : 855.36 = 423.36 : x
  2. Step 2: Convert to fraction form
    619.56/855.36 = 423.36/x
  3. Step 3: Cross multiply
    619.56x = 855.36 × 423.36
  4. Step 4: Simplify right side
    619.56x = 362,125.21
  5. Step 5: Solve for x
    x = 362,125.21/619.56
  6. Step 6: Final answer
    x = 584.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.