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Finding the Fourth Proportional to 434.84, 652.26 and 146.29

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Solution

The fourth proportional to 434.84, 652.26 and 146.29 is: 219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.84 : 652.26 = 146.29 : x
  2. Step 2: Convert to fraction form
    434.84/652.26 = 146.29/x
  3. Step 3: Cross multiply
    434.84x = 652.26 × 146.29
  4. Step 4: Simplify right side
    434.84x = 95,415.85
  5. Step 5: Solve for x
    x = 95,415.85/434.84
  6. Step 6: Final answer
    x = 219.43

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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.