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Finding the Fourth Proportional to 454.41, 681.35 and 180.45

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Solution

The fourth proportional to 454.41, 681.35 and 180.45 is: 270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.41 : 681.35 = 180.45 : x
  2. Step 2: Convert to fraction form
    454.41/681.35 = 180.45/x
  3. Step 3: Cross multiply
    454.41x = 681.35 × 180.45
  4. Step 4: Simplify right side
    454.41x = 122,948.71
  5. Step 5: Solve for x
    x = 122,948.71/454.41
  6. Step 6: Final answer
    x = 270.57

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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.