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Finding the Fourth Proportional to 473.79, 711.48 and 309.54

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Solution

The fourth proportional to 473.79, 711.48 and 309.54 is: 464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.79 : 711.48 = 309.54 : x
  2. Step 2: Convert to fraction form
    473.79/711.48 = 309.54/x
  3. Step 3: Cross multiply
    473.79x = 711.48 × 309.54
  4. Step 4: Simplify right side
    473.79x = 220,232.49
  5. Step 5: Solve for x
    x = 220,232.49/473.79
  6. Step 6: Final answer
    x = 464.83

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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.