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Finding the Fourth Proportional to 433.16, 649.82 and 176.84

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Solution

The fourth proportional to 433.16, 649.82 and 176.84 is: 265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 649.82 = 176.84 : x
  2. Step 2: Convert to fraction form
    433.16/649.82 = 176.84/x
  3. Step 3: Cross multiply
    433.16x = 649.82 × 176.84
  4. Step 4: Simplify right side
    433.16x = 114,914.17
  5. Step 5: Solve for x
    x = 114,914.17/433.16
  6. Step 6: Final answer
    x = 265.29

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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.