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Finding the Fourth Proportional to 619.72, 855.23 and 339.96

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Solution

The fourth proportional to 619.72, 855.23 and 339.96 is: 469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.72 : 855.23 = 339.96 : x
  2. Step 2: Convert to fraction form
    619.72/855.23 = 339.96/x
  3. Step 3: Cross multiply
    619.72x = 855.23 × 339.96
  4. Step 4: Simplify right side
    619.72x = 290,744.84
  5. Step 5: Solve for x
    x = 290,744.84/619.72
  6. Step 6: Final answer
    x = 469.16

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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.