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Finding the Fourth Proportional to 436.09, 653.87 and 176.21

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Solution

The fourth proportional to 436.09, 653.87 and 176.21 is: 264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.09 : 653.87 = 176.21 : x
  2. Step 2: Convert to fraction form
    436.09/653.87 = 176.21/x
  3. Step 3: Cross multiply
    436.09x = 653.87 × 176.21
  4. Step 4: Simplify right side
    436.09x = 115,218.43
  5. Step 5: Solve for x
    x = 115,218.43/436.09
  6. Step 6: Final answer
    x = 264.21

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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.