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Finding the Fourth Proportional to 537.89, 806.29 and 498.61

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Solution

The fourth proportional to 537.89, 806.29 and 498.61 is: 747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.89 : 806.29 = 498.61 : x
  2. Step 2: Convert to fraction form
    537.89/806.29 = 498.61/x
  3. Step 3: Cross multiply
    537.89x = 806.29 × 498.61
  4. Step 4: Simplify right side
    537.89x = 402,024.26
  5. Step 5: Solve for x
    x = 402,024.26/537.89
  6. Step 6: Final answer
    x = 747.41

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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.