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Finding the Fourth Proportional to 430.98, 646.33 and 225.44

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Solution

The fourth proportional to 430.98, 646.33 and 225.44 is: 338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.98 : 646.33 = 225.44 : x
  2. Step 2: Convert to fraction form
    430.98/646.33 = 225.44/x
  3. Step 3: Cross multiply
    430.98x = 646.33 × 225.44
  4. Step 4: Simplify right side
    430.98x = 145,708.64
  5. Step 5: Solve for x
    x = 145,708.64/430.98
  6. Step 6: Final answer
    x = 338.09

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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.