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Finding the Fourth Proportional to 539.12, 744.16 and 513.12

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Solution

The fourth proportional to 539.12, 744.16 and 513.12 is: 708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.12 : 744.16 = 513.12 : x
  2. Step 2: Convert to fraction form
    539.12/744.16 = 513.12/x
  3. Step 3: Cross multiply
    539.12x = 744.16 × 513.12
  4. Step 4: Simplify right side
    539.12x = 381,843.38
  5. Step 5: Solve for x
    x = 381,843.38/539.12
  6. Step 6: Final answer
    x = 708.27

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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.