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Finding the Fourth Proportional to 620, 855.60 and 344

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Solution

The fourth proportional to 620, 855.60 and 344 is: 474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    620 : 855.60 = 344 : x
  2. Step 2: Convert to fraction form
    620/855.60 = 344/x
  3. Step 3: Cross multiply
    620x = 855.60 × 344
  4. Step 4: Simplify right side
    620x = 294,326.40
  5. Step 5: Solve for x
    x = 294,326.40/620
  6. Step 6: Final answer
    x = 474.72

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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.