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Finding the Fourth Proportional to 495, 742.44 and 202.56

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Solution

The fourth proportional to 495, 742.44 and 202.56 is: 303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    495 : 742.44 = 202.56 : x
  2. Step 2: Convert to fraction form
    495/742.44 = 202.56/x
  3. Step 3: Cross multiply
    495x = 742.44 × 202.56
  4. Step 4: Simplify right side
    495x = 150,388.65
  5. Step 5: Solve for x
    x = 150,388.65/495
  6. Step 6: Final answer
    x = 303.82

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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.