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Finding the Fourth Proportional to 619.64, 855.06 and 339.82

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Solution

The fourth proportional to 619.64, 855.06 and 339.82 is: 468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.64 : 855.06 = 339.82 : x
  2. Step 2: Convert to fraction form
    619.64/855.06 = 339.82/x
  3. Step 3: Cross multiply
    619.64x = 855.06 × 339.82
  4. Step 4: Simplify right side
    619.64x = 290,560.51
  5. Step 5: Solve for x
    x = 290,560.51/619.64
  6. Step 6: Final answer
    x = 468.92

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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.