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Finding the Fourth Proportional to 433.84, 650.77 and 145.28

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Solution

The fourth proportional to 433.84, 650.77 and 145.28 is: 217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.84 : 650.77 = 145.28 : x
  2. Step 2: Convert to fraction form
    433.84/650.77 = 145.28/x
  3. Step 3: Cross multiply
    433.84x = 650.77 × 145.28
  4. Step 4: Simplify right side
    433.84x = 94,543.87
  5. Step 5: Solve for x
    x = 94,543.87/433.84
  6. Step 6: Final answer
    x = 217.92

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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.