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Finding the Fourth Proportional to 434.02, 650.57 and 190.48

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Solution

The fourth proportional to 434.02, 650.57 and 190.48 is: 285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.02 : 650.57 = 190.48 : x
  2. Step 2: Convert to fraction form
    434.02/650.57 = 190.48/x
  3. Step 3: Cross multiply
    434.02x = 650.57 × 190.48
  4. Step 4: Simplify right side
    434.02x = 123,920.57
  5. Step 5: Solve for x
    x = 123,920.57/434.02
  6. Step 6: Final answer
    x = 285.52

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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.