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Finding the Fourth Proportional to 467.98, 645.82 and 271.50

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Solution

The fourth proportional to 467.98, 645.82 and 271.50 is: 374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.98 : 645.82 = 271.50 : x
  2. Step 2: Convert to fraction form
    467.98/645.82 = 271.50/x
  3. Step 3: Cross multiply
    467.98x = 645.82 × 271.50
  4. Step 4: Simplify right side
    467.98x = 175,340.13
  5. Step 5: Solve for x
    x = 175,340.13/467.98
  6. Step 6: Final answer
    x = 374.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.