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Finding the Fourth Proportional to 539.02, 743.73 and 352.78

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Solution

The fourth proportional to 539.02, 743.73 and 352.78 is: 486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.02 : 743.73 = 352.78 : x
  2. Step 2: Convert to fraction form
    539.02/743.73 = 352.78/x
  3. Step 3: Cross multiply
    539.02x = 743.73 × 352.78
  4. Step 4: Simplify right side
    539.02x = 262,373.07
  5. Step 5: Solve for x
    x = 262,373.07/539.02
  6. Step 6: Final answer
    x = 486.76

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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.