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Finding the Fourth Proportional to 513.58, 770.44 and 225.02

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Solution

The fourth proportional to 513.58, 770.44 and 225.02 is: 337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.58 : 770.44 = 225.02 : x
  2. Step 2: Convert to fraction form
    513.58/770.44 = 225.02/x
  3. Step 3: Cross multiply
    513.58x = 770.44 × 225.02
  4. Step 4: Simplify right side
    513.58x = 173,364.41
  5. Step 5: Solve for x
    x = 173,364.41/513.58
  6. Step 6: Final answer
    x = 337.56

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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.