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Finding the Fourth Proportional to 510.02, 765.23 and 452.10

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Solution

The fourth proportional to 510.02, 765.23 and 452.10 is: 678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.02 : 765.23 = 452.10 : x
  2. Step 2: Convert to fraction form
    510.02/765.23 = 452.10/x
  3. Step 3: Cross multiply
    510.02x = 765.23 × 452.10
  4. Step 4: Simplify right side
    510.02x = 345,958.22
  5. Step 5: Solve for x
    x = 345,958.22/510.02
  6. Step 6: Final answer
    x = 678.33

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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.