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Finding the Fourth Proportional to 434.75, 650.97 and 288.23

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Solution

The fourth proportional to 434.75, 650.97 and 288.23 is: 431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.75 : 650.97 = 288.23 : x
  2. Step 2: Convert to fraction form
    434.75/650.97 = 288.23/x
  3. Step 3: Cross multiply
    434.75x = 650.97 × 288.23
  4. Step 4: Simplify right side
    434.75x = 187,625.83
  5. Step 5: Solve for x
    x = 187,625.83/434.75
  6. Step 6: Final answer
    x = 431.58

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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.