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Finding the Fourth Proportional to 436.65, 655.12 and 176.56

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Solution

The fourth proportional to 436.65, 655.12 and 176.56 is: 264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.65 : 655.12 = 176.56 : x
  2. Step 2: Convert to fraction form
    436.65/655.12 = 176.56/x
  3. Step 3: Cross multiply
    436.65x = 655.12 × 176.56
  4. Step 4: Simplify right side
    436.65x = 115,670.26
  5. Step 5: Solve for x
    x = 115,670.26/436.65
  6. Step 6: Final answer
    x = 264.91

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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.