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Finding the Fourth Proportional to 473.41, 711.48 and 439.46

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Solution

The fourth proportional to 473.41, 711.48 and 439.46 is: 660.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.41 : 711.48 = 439.46 : x
  2. Step 2: Convert to fraction form
    473.41/711.48 = 439.46/x
  3. Step 3: Cross multiply
    473.41x = 711.48 × 439.46
  4. Step 4: Simplify right side
    473.41x = 312,667.76
  5. Step 5: Solve for x
    x = 312,667.76/473.41
  6. Step 6: Final answer
    x = 660.46

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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.