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Finding the Fourth Proportional to 673.20, 928.96 and 378.50

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Solution

The fourth proportional to 673.20, 928.96 and 378.50 is: 522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.20 : 928.96 = 378.50 : x
  2. Step 2: Convert to fraction form
    673.20/928.96 = 378.50/x
  3. Step 3: Cross multiply
    673.20x = 928.96 × 378.50
  4. Step 4: Simplify right side
    673.20x = 351,611.36
  5. Step 5: Solve for x
    x = 351,611.36/673.20
  6. Step 6: Final answer
    x = 522.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.