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Finding the Fourth Proportional to 510.33, 765.75 and 279.21

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Solution

The fourth proportional to 510.33, 765.75 and 279.21 is: 418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.33 : 765.75 = 279.21 : x
  2. Step 2: Convert to fraction form
    510.33/765.75 = 279.21/x
  3. Step 3: Cross multiply
    510.33x = 765.75 × 279.21
  4. Step 4: Simplify right side
    510.33x = 213,805.06
  5. Step 5: Solve for x
    x = 213,805.06/510.33
  6. Step 6: Final answer
    x = 418.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.