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Finding the Fourth Proportional to 436.50, 655 and 176.54

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Solution

The fourth proportional to 436.50, 655 and 176.54 is: 264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.50 : 655 = 176.54 : x
  2. Step 2: Convert to fraction form
    436.50/655 = 176.54/x
  3. Step 3: Cross multiply
    436.50x = 655 × 176.54
  4. Step 4: Simplify right side
    436.50x = 115,633.70
  5. Step 5: Solve for x
    x = 115,633.70/436.50
  6. Step 6: Final answer
    x = 264.91

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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.