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Finding the Fourth Proportional to 510.29, 765.29 and 428.54

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Solution

The fourth proportional to 510.29, 765.29 and 428.54 is: 642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.29 : 765.29 = 428.54 : x
  2. Step 2: Convert to fraction form
    510.29/765.29 = 428.54/x
  3. Step 3: Cross multiply
    510.29x = 765.29 × 428.54
  4. Step 4: Simplify right side
    510.29x = 327,955.23
  5. Step 5: Solve for x
    x = 327,955.23/510.29
  6. Step 6: Final answer
    x = 642.68

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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.