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Finding the Fourth Proportional to 620.67, 856.20 and 411.09

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Solution

The fourth proportional to 620.67, 856.20 and 411.09 is: 567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.67 : 856.20 = 411.09 : x
  2. Step 2: Convert to fraction form
    620.67/856.20 = 411.09/x
  3. Step 3: Cross multiply
    620.67x = 856.20 × 411.09
  4. Step 4: Simplify right side
    620.67x = 351,975.26
  5. Step 5: Solve for x
    x = 351,975.26/620.67
  6. Step 6: Final answer
    x = 567.09

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1.5x scale

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.