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Finding the Fourth Proportional to 510.80, 765.60 and 254

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Solution

The fourth proportional to 510.80, 765.60 and 254 is: 380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.80 : 765.60 = 254 : x
  2. Step 2: Convert to fraction form
    510.80/765.60 = 254/x
  3. Step 3: Cross multiply
    510.80x = 765.60 × 254
  4. Step 4: Simplify right side
    510.80x = 194,462.40
  5. Step 5: Solve for x
    x = 194,462.40/510.80
  6. Step 6: Final answer
    x = 380.70

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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.