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Finding the Fourth Proportional to 433.95, 650.72 and 202.79

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Solution

The fourth proportional to 433.95, 650.72 and 202.79 is: 304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.95 : 650.72 = 202.79 : x
  2. Step 2: Convert to fraction form
    433.95/650.72 = 202.79/x
  3. Step 3: Cross multiply
    433.95x = 650.72 × 202.79
  4. Step 4: Simplify right side
    433.95x = 131,955.24
  5. Step 5: Solve for x
    x = 131,955.24/433.95
  6. Step 6: Final answer
    x = 304.08

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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.