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Finding the Fourth Proportional to 620.78, 856.67 and 341.03

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Solution

The fourth proportional to 620.78, 856.67 and 341.03 is: 470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.78 : 856.67 = 341.03 : x
  2. Step 2: Convert to fraction form
    620.78/856.67 = 341.03/x
  3. Step 3: Cross multiply
    620.78x = 856.67 × 341.03
  4. Step 4: Simplify right side
    620.78x = 292,144.18
  5. Step 5: Solve for x
    x = 292,144.18/620.78
  6. Step 6: Final answer
    x = 470.61

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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.