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Finding the Fourth Proportional to 435.18, 651.66 and 229.81

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Solution

The fourth proportional to 435.18, 651.66 and 229.81 is: 344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.18 : 651.66 = 229.81 : x
  2. Step 2: Convert to fraction form
    435.18/651.66 = 229.81/x
  3. Step 3: Cross multiply
    435.18x = 651.66 × 229.81
  4. Step 4: Simplify right side
    435.18x = 149,754.75
  5. Step 5: Solve for x
    x = 149,754.75/435.18
  6. Step 6: Final answer
    x = 344.12

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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.