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Finding the Fourth Proportional to 539.88, 746.01 and 434.76

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Solution

The fourth proportional to 539.88, 746.01 and 434.76 is: 600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.88 : 746.01 = 434.76 : x
  2. Step 2: Convert to fraction form
    539.88/746.01 = 434.76/x
  3. Step 3: Cross multiply
    539.88x = 746.01 × 434.76
  4. Step 4: Simplify right side
    539.88x = 324,335.31
  5. Step 5: Solve for x
    x = 324,335.31/539.88
  6. Step 6: Final answer
    x = 600.75

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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.