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Finding the Fourth Proportional to 620.16, 855.84 and 423.84

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Solution

The fourth proportional to 620.16, 855.84 and 423.84 is: 584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.16 : 855.84 = 423.84 : x
  2. Step 2: Convert to fraction form
    620.16/855.84 = 423.84/x
  3. Step 3: Cross multiply
    620.16x = 855.84 × 423.84
  4. Step 4: Simplify right side
    620.16x = 362,739.23
  5. Step 5: Solve for x
    x = 362,739.23/620.16
  6. Step 6: Final answer
    x = 584.91

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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.