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Finding the Fourth Proportional to 454.10, 680.45 and 271.67

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Solution

The fourth proportional to 454.10, 680.45 and 271.67 is: 407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.10 : 680.45 = 271.67 : x
  2. Step 2: Convert to fraction form
    454.10/680.45 = 271.67/x
  3. Step 3: Cross multiply
    454.10x = 680.45 × 271.67
  4. Step 4: Simplify right side
    454.10x = 184,853.09
  5. Step 5: Solve for x
    x = 184,853.09/454.10
  6. Step 6: Final answer
    x = 407.08

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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.