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Finding the Fourth Proportional to 433.52, 649.88 and 189.91

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Solution

The fourth proportional to 433.52, 649.88 and 189.91 is: 284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.52 : 649.88 = 189.91 : x
  2. Step 2: Convert to fraction form
    433.52/649.88 = 189.91/x
  3. Step 3: Cross multiply
    433.52x = 649.88 × 189.91
  4. Step 4: Simplify right side
    433.52x = 123,415.46
  5. Step 5: Solve for x
    x = 123,415.46/433.52
  6. Step 6: Final answer
    x = 284.69

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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.