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Finding the Fourth Proportional to 436.56, 654.68 and 180.08

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Solution

The fourth proportional to 436.56, 654.68 and 180.08 is: 270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.56 : 654.68 = 180.08 : x
  2. Step 2: Convert to fraction form
    436.56/654.68 = 180.08/x
  3. Step 3: Cross multiply
    436.56x = 654.68 × 180.08
  4. Step 4: Simplify right side
    436.56x = 117,894.77
  5. Step 5: Solve for x
    x = 117,894.77/436.56
  6. Step 6: Final answer
    x = 270.05

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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.