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Finding the Fourth Proportional to 436.59, 654.89 and 162.75

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Solution

The fourth proportional to 436.59, 654.89 and 162.75 is: 244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.59 : 654.89 = 162.75 : x
  2. Step 2: Convert to fraction form
    436.59/654.89 = 162.75/x
  3. Step 3: Cross multiply
    436.59x = 654.89 × 162.75
  4. Step 4: Simplify right side
    436.59x = 106,582.53
  5. Step 5: Solve for x
    x = 106,582.53/436.59
  6. Step 6: Final answer
    x = 244.13

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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.