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Finding the Fourth Proportional to 434.49, 652.04 and 160.80

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Solution

The fourth proportional to 434.49, 652.04 and 160.80 is: 241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.49 : 652.04 = 160.80 : x
  2. Step 2: Convert to fraction form
    434.49/652.04 = 160.80/x
  3. Step 3: Cross multiply
    434.49x = 652.04 × 160.80
  4. Step 4: Simplify right side
    434.49x = 104,847.23
  5. Step 5: Solve for x
    x = 104,847.23/434.49
  6. Step 6: Final answer
    x = 241.31

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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.