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Finding the Fourth Proportional to 473.98, 709.44 and 291.74

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Solution

The fourth proportional to 473.98, 709.44 and 291.74 is: 436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.98 : 709.44 = 291.74 : x
  2. Step 2: Convert to fraction form
    473.98/709.44 = 291.74/x
  3. Step 3: Cross multiply
    473.98x = 709.44 × 291.74
  4. Step 4: Simplify right side
    473.98x = 206,972.03
  5. Step 5: Solve for x
    x = 206,972.03/473.98
  6. Step 6: Final answer
    x = 436.67

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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.