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Finding the Fourth Proportional to 494.37, 741.56 and 206.01

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Solution

The fourth proportional to 494.37, 741.56 and 206.01 is: 309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.37 : 741.56 = 206.01 : x
  2. Step 2: Convert to fraction form
    494.37/741.56 = 206.01/x
  3. Step 3: Cross multiply
    494.37x = 741.56 × 206.01
  4. Step 4: Simplify right side
    494.37x = 152,767.75
  5. Step 5: Solve for x
    x = 152,767.75/494.37
  6. Step 6: Final answer
    x = 309.02

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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.