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Finding the Fourth Proportional to 290, 434.24 and 193.52

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Solution

The fourth proportional to 290, 434.24 and 193.52 is: 289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290 : 434.24 = 193.52 : x
  2. Step 2: Convert to fraction form
    290/434.24 = 193.52/x
  3. Step 3: Cross multiply
    290x = 434.24 × 193.52
  4. Step 4: Simplify right side
    290x = 84,034.12
  5. Step 5: Solve for x
    x = 84,034.12/290
  6. Step 6: Final answer
    x = 289.77

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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.