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Finding the Fourth Proportional to 539.85, 744.96 and 303.77

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Solution

The fourth proportional to 539.85, 744.96 and 303.77 is: 419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.85 : 744.96 = 303.77 : x
  2. Step 2: Convert to fraction form
    539.85/744.96 = 303.77/x
  3. Step 3: Cross multiply
    539.85x = 744.96 × 303.77
  4. Step 4: Simplify right side
    539.85x = 226,297.22
  5. Step 5: Solve for x
    x = 226,297.22/539.85
  6. Step 6: Final answer
    x = 419.18

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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.