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Finding the Fourth Proportional to 510.49, 765.40 and 305.09

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Solution

The fourth proportional to 510.49, 765.40 and 305.09 is: 457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.49 : 765.40 = 305.09 : x
  2. Step 2: Convert to fraction form
    510.49/765.40 = 305.09/x
  3. Step 3: Cross multiply
    510.49x = 765.40 × 305.09
  4. Step 4: Simplify right side
    510.49x = 233,515.89
  5. Step 5: Solve for x
    x = 233,515.89/510.49
  6. Step 6: Final answer
    x = 457.43

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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.