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Finding the Fourth Proportional to 620.83, 856.56 and 399.90

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Solution

The fourth proportional to 620.83, 856.56 and 399.90 is: 551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.83 : 856.56 = 399.90 : x
  2. Step 2: Convert to fraction form
    620.83/856.56 = 399.90/x
  3. Step 3: Cross multiply
    620.83x = 856.56 × 399.90
  4. Step 4: Simplify right side
    620.83x = 342,538.34
  5. Step 5: Solve for x
    x = 342,538.34/620.83
  6. Step 6: Final answer
    x = 551.75

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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.