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Finding the Fourth Proportional to 620.68, 856.56 and 340.94

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Solution

The fourth proportional to 620.68, 856.56 and 340.94 is: 470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.68 : 856.56 = 340.94 : x
  2. Step 2: Convert to fraction form
    620.68/856.56 = 340.94/x
  3. Step 3: Cross multiply
    620.68x = 856.56 × 340.94
  4. Step 4: Simplify right side
    620.68x = 292,035.57
  5. Step 5: Solve for x
    x = 292,035.57/620.68
  6. Step 6: Final answer
    x = 470.51

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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.