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Finding the Fourth Proportional to 434.84, 652.27 and 146.28

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Solution

The fourth proportional to 434.84, 652.27 and 146.28 is: 219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.84 : 652.27 = 146.28 : x
  2. Step 2: Convert to fraction form
    434.84/652.27 = 146.28/x
  3. Step 3: Cross multiply
    434.84x = 652.27 × 146.28
  4. Step 4: Simplify right side
    434.84x = 95,414.06
  5. Step 5: Solve for x
    x = 95,414.06/434.84
  6. Step 6: Final answer
    x = 219.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.