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Finding the Fourth Proportional to 454.68, 681.62 and 211.01

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Solution

The fourth proportional to 454.68, 681.62 and 211.01 is: 316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.68 : 681.62 = 211.01 : x
  2. Step 2: Convert to fraction form
    454.68/681.62 = 211.01/x
  3. Step 3: Cross multiply
    454.68x = 681.62 × 211.01
  4. Step 4: Simplify right side
    454.68x = 143,824.17
  5. Step 5: Solve for x
    x = 143,824.17/454.68
  6. Step 6: Final answer
    x = 316.32

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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.