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Finding the Fourth Proportional to 539.46, 744.48 and 408.24

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Solution

The fourth proportional to 539.46, 744.48 and 408.24 is: 563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.46 : 744.48 = 408.24 : x
  2. Step 2: Convert to fraction form
    539.46/744.48 = 408.24/x
  3. Step 3: Cross multiply
    539.46x = 744.48 × 408.24
  4. Step 4: Simplify right side
    539.46x = 303,926.52
  5. Step 5: Solve for x
    x = 303,926.52/539.46
  6. Step 6: Final answer
    x = 563.39

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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.