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Finding the Fourth Proportional to 434.29, 651.81 and 229.00

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Solution

The fourth proportional to 434.29, 651.81 and 229.00 is: 343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.29 : 651.81 = 229.00 : x
  2. Step 2: Convert to fraction form
    434.29/651.81 = 229.00/x
  3. Step 3: Cross multiply
    434.29x = 651.81 × 229.00
  4. Step 4: Simplify right side
    434.29x = 149,265.30
  5. Step 5: Solve for x
    x = 149,265.30/434.29
  6. Step 6: Final answer
    x = 343.70

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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.