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Finding the Fourth Proportional to 620.92, 856.47 and 455.14

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Solution

The fourth proportional to 620.92, 856.47 and 455.14 is: 627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.92 : 856.47 = 455.14 : x
  2. Step 2: Convert to fraction form
    620.92/856.47 = 455.14/x
  3. Step 3: Cross multiply
    620.92x = 856.47 × 455.14
  4. Step 4: Simplify right side
    620.92x = 389,813.76
  5. Step 5: Solve for x
    x = 389,813.76/620.92
  6. Step 6: Final answer
    x = 627.80

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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.