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Finding the Fourth Proportional to 538.93, 806.76 and 487.59

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Solution

The fourth proportional to 538.93, 806.76 and 487.59 is: 729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.93 : 806.76 = 487.59 : x
  2. Step 2: Convert to fraction form
    538.93/806.76 = 487.59/x
  3. Step 3: Cross multiply
    538.93x = 806.76 × 487.59
  4. Step 4: Simplify right side
    538.93x = 393,364.07
  5. Step 5: Solve for x
    x = 393,364.07/538.93
  6. Step 6: Final answer
    x = 729.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.