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Finding the Fourth Proportional to 619.63, 855.13 and 357.64

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Solution

The fourth proportional to 619.63, 855.13 and 357.64 is: 493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.63 : 855.13 = 357.64 : x
  2. Step 2: Convert to fraction form
    619.63/855.13 = 357.64/x
  3. Step 3: Cross multiply
    619.63x = 855.13 × 357.64
  4. Step 4: Simplify right side
    619.63x = 305,828.69
  5. Step 5: Solve for x
    x = 305,828.69/619.63
  6. Step 6: Final answer
    x = 493.57

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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.