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Finding the Fourth Proportional to 539.38, 744.38 and 408.16

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Solution

The fourth proportional to 539.38, 744.38 and 408.16 is: 563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.38 : 744.38 = 408.16 : x
  2. Step 2: Convert to fraction form
    539.38/744.38 = 408.16/x
  3. Step 3: Cross multiply
    539.38x = 744.38 × 408.16
  4. Step 4: Simplify right side
    539.38x = 303,826.14
  5. Step 5: Solve for x
    x = 303,826.14/539.38
  6. Step 6: Final answer
    x = 563.29

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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.