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Finding the Fourth Proportional to 620.54, 856.30 and 340.76

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Solution

The fourth proportional to 620.54, 856.30 and 340.76 is: 470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.54 : 856.30 = 340.76 : x
  2. Step 2: Convert to fraction form
    620.54/856.30 = 340.76/x
  3. Step 3: Cross multiply
    620.54x = 856.30 × 340.76
  4. Step 4: Simplify right side
    620.54x = 291,792.79
  5. Step 5: Solve for x
    x = 291,792.79/620.54
  6. Step 6: Final answer
    x = 470.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.