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Finding the Fourth Proportional to 510.82, 765.86 and 264.10

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Solution

The fourth proportional to 510.82, 765.86 and 264.10 is: 395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.82 : 765.86 = 264.10 : x
  2. Step 2: Convert to fraction form
    510.82/765.86 = 264.10/x
  3. Step 3: Cross multiply
    510.82x = 765.86 × 264.10
  4. Step 4: Simplify right side
    510.82x = 202,263.63
  5. Step 5: Solve for x
    x = 202,263.63/510.82
  6. Step 6: Final answer
    x = 395.96

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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.