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Finding the Fourth Proportional to 434.87, 652.34 and 146.51

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Solution

The fourth proportional to 434.87, 652.34 and 146.51 is: 219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.87 : 652.34 = 146.51 : x
  2. Step 2: Convert to fraction form
    434.87/652.34 = 146.51/x
  3. Step 3: Cross multiply
    434.87x = 652.34 × 146.51
  4. Step 4: Simplify right side
    434.87x = 95,573.60
  5. Step 5: Solve for x
    x = 95,573.60/434.87
  6. Step 6: Final answer
    x = 219.78

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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.