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Finding the Fourth Proportional to 539.24, 744.10 and 303.16

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Solution

The fourth proportional to 539.24, 744.10 and 303.16 is: 418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.24 : 744.10 = 303.16 : x
  2. Step 2: Convert to fraction form
    539.24/744.10 = 303.16/x
  3. Step 3: Cross multiply
    539.24x = 744.10 × 303.16
  4. Step 4: Simplify right side
    539.24x = 225,581.36
  5. Step 5: Solve for x
    x = 225,581.36/539.24
  6. Step 6: Final answer
    x = 418.33

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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.