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Finding the Fourth Proportional to 512.84, 765.91 and 410.28

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Solution

The fourth proportional to 512.84, 765.91 and 410.28 is: 612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.84 : 765.91 = 410.28 : x
  2. Step 2: Convert to fraction form
    512.84/765.91 = 410.28/x
  3. Step 3: Cross multiply
    512.84x = 765.91 × 410.28
  4. Step 4: Simplify right side
    512.84x = 314,237.55
  5. Step 5: Solve for x
    x = 314,237.55/512.84
  6. Step 6: Final answer
    x = 612.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.