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Finding the Fourth Proportional to 513.60, 770.40 and 257.04

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Solution

The fourth proportional to 513.60, 770.40 and 257.04 is: 385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.60 : 770.40 = 257.04 : x
  2. Step 2: Convert to fraction form
    513.60/770.40 = 257.04/x
  3. Step 3: Cross multiply
    513.60x = 770.40 × 257.04
  4. Step 4: Simplify right side
    513.60x = 198,023.62
  5. Step 5: Solve for x
    x = 198,023.62/513.60
  6. Step 6: Final answer
    x = 385.56

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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.