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Finding the Fourth Proportional to 620.39, 856.14 and 340.62

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Solution

The fourth proportional to 620.39, 856.14 and 340.62 is: 470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.39 : 856.14 = 340.62 : x
  2. Step 2: Convert to fraction form
    620.39/856.14 = 340.62/x
  3. Step 3: Cross multiply
    620.39x = 856.14 × 340.62
  4. Step 4: Simplify right side
    620.39x = 291,618.41
  5. Step 5: Solve for x
    x = 291,618.41/620.39
  6. Step 6: Final answer
    x = 470.06

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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.