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Finding the Fourth Proportional to 620.02, 855.90 and 410.31

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Solution

The fourth proportional to 620.02, 855.90 and 410.31 is: 566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.02 : 855.90 = 410.31 : x
  2. Step 2: Convert to fraction form
    620.02/855.90 = 410.31/x
  3. Step 3: Cross multiply
    620.02x = 855.90 × 410.31
  4. Step 4: Simplify right side
    620.02x = 351,184.33
  5. Step 5: Solve for x
    x = 351,184.33/620.02
  6. Step 6: Final answer
    x = 566.41

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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.