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Finding the Fourth Proportional to 496.01, 742.59 and 412.98

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Solution

The fourth proportional to 496.01, 742.59 and 412.98 is: 618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.01 : 742.59 = 412.98 : x
  2. Step 2: Convert to fraction form
    496.01/742.59 = 412.98/x
  3. Step 3: Cross multiply
    496.01x = 742.59 × 412.98
  4. Step 4: Simplify right side
    496.01x = 306,674.82
  5. Step 5: Solve for x
    x = 306,674.82/496.01
  6. Step 6: Final answer
    x = 618.29

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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.