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Finding the Fourth Proportional to 306.42, 459.81 and 229.44

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Solution

The fourth proportional to 306.42, 459.81 and 229.44 is: 344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.42 : 459.81 = 229.44 : x
  2. Step 2: Convert to fraction form
    306.42/459.81 = 229.44/x
  3. Step 3: Cross multiply
    306.42x = 459.81 × 229.44
  4. Step 4: Simplify right side
    306.42x = 105,498.81
  5. Step 5: Solve for x
    x = 105,498.81/306.42
  6. Step 6: Final answer
    x = 344.29

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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.