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Finding the Fourth Proportional to 433.16, 649.74 and 108.51

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Solution

The fourth proportional to 433.16, 649.74 and 108.51 is: 162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 649.74 = 108.51 : x
  2. Step 2: Convert to fraction form
    433.16/649.74 = 108.51/x
  3. Step 3: Cross multiply
    433.16x = 649.74 × 108.51
  4. Step 4: Simplify right side
    433.16x = 70,503.29
  5. Step 5: Solve for x
    x = 70,503.29/433.16
  6. Step 6: Final answer
    x = 162.77

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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.