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Finding the Fourth Proportional to 434.01, 651.02 and 190.47

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Solution

The fourth proportional to 434.01, 651.02 and 190.47 is: 285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.01 : 651.02 = 190.47 : x
  2. Step 2: Convert to fraction form
    434.01/651.02 = 190.47/x
  3. Step 3: Cross multiply
    434.01x = 651.02 × 190.47
  4. Step 4: Simplify right side
    434.01x = 123,998.83
  5. Step 5: Solve for x
    x = 123,998.83/434.01
  6. Step 6: Final answer
    x = 285.71

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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.