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Finding the Fourth Proportional to 550.63, 755.34 and 520.84

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Solution

The fourth proportional to 550.63, 755.34 and 520.84 is: 714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.63 : 755.34 = 520.84 : x
  2. Step 2: Convert to fraction form
    550.63/755.34 = 520.84/x
  3. Step 3: Cross multiply
    550.63x = 755.34 × 520.84
  4. Step 4: Simplify right side
    550.63x = 393,412.88
  5. Step 5: Solve for x
    x = 393,412.88/550.63
  6. Step 6: Final answer
    x = 714.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.