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Finding the Fourth Proportional to 620.87, 857.37 and 400.20

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Solution

The fourth proportional to 620.87, 857.37 and 400.20 is: 552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.87 : 857.37 = 400.20 : x
  2. Step 2: Convert to fraction form
    620.87/857.37 = 400.20/x
  3. Step 3: Cross multiply
    620.87x = 857.37 × 400.20
  4. Step 4: Simplify right side
    620.87x = 343,115.19
  5. Step 5: Solve for x
    x = 343,115.19/620.87
  6. Step 6: Final answer
    x = 552.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.