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Finding the Fourth Proportional to 434.73, 652.35 and 161.01

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Solution

The fourth proportional to 434.73, 652.35 and 161.01 is: 241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.73 : 652.35 = 161.01 : x
  2. Step 2: Convert to fraction form
    434.73/652.35 = 161.01/x
  3. Step 3: Cross multiply
    434.73x = 652.35 × 161.01
  4. Step 4: Simplify right side
    434.73x = 105,034.07
  5. Step 5: Solve for x
    x = 105,034.07/434.73
  6. Step 6: Final answer
    x = 241.61

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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.