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Finding the Fourth Proportional to 436.11, 654.20 and 176.07

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Solution

The fourth proportional to 436.11, 654.20 and 176.07 is: 264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.11 : 654.20 = 176.07 : x
  2. Step 2: Convert to fraction form
    436.11/654.20 = 176.07/x
  3. Step 3: Cross multiply
    436.11x = 654.20 × 176.07
  4. Step 4: Simplify right side
    436.11x = 115,184.99
  5. Step 5: Solve for x
    x = 115,184.99/436.11
  6. Step 6: Final answer
    x = 264.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.