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Finding the Fourth Proportional to 510.66, 765.03 and 301.80

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Solution

The fourth proportional to 510.66, 765.03 and 301.80 is: 452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.66 : 765.03 = 301.80 : x
  2. Step 2: Convert to fraction form
    510.66/765.03 = 301.80/x
  3. Step 3: Cross multiply
    510.66x = 765.03 × 301.80
  4. Step 4: Simplify right side
    510.66x = 230,887.21
  5. Step 5: Solve for x
    x = 230,887.21/510.66
  6. Step 6: Final answer
    x = 452.13

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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.