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Finding the Fourth Proportional to 434.77, 652.12 and 229.30

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Solution

The fourth proportional to 434.77, 652.12 and 229.30 is: 343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.77 : 652.12 = 229.30 : x
  2. Step 2: Convert to fraction form
    434.77/652.12 = 229.30/x
  3. Step 3: Cross multiply
    434.77x = 652.12 × 229.30
  4. Step 4: Simplify right side
    434.77x = 149,528.91
  5. Step 5: Solve for x
    x = 149,528.91/434.77
  6. Step 6: Final answer
    x = 343.93

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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.