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Finding the Fourth Proportional to 547.86, 756.63 and 535.31

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Solution

The fourth proportional to 547.86, 756.63 and 535.31 is: 739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.86 : 756.63 = 535.31 : x
  2. Step 2: Convert to fraction form
    547.86/756.63 = 535.31/x
  3. Step 3: Cross multiply
    547.86x = 756.63 × 535.31
  4. Step 4: Simplify right side
    547.86x = 405,027.82
  5. Step 5: Solve for x
    x = 405,027.82/547.86
  6. Step 6: Final answer
    x = 739.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.