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Finding the Fourth Proportional to 620.93, 856.83 and 341.16

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Solution

The fourth proportional to 620.93, 856.83 and 341.16 is: 470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.93 : 856.83 = 341.16 : x
  2. Step 2: Convert to fraction form
    620.93/856.83 = 341.16/x
  3. Step 3: Cross multiply
    620.93x = 856.83 × 341.16
  4. Step 4: Simplify right side
    620.93x = 292,316.12
  5. Step 5: Solve for x
    x = 292,316.12/620.93
  6. Step 6: Final answer
    x = 470.77

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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.