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Finding the Fourth Proportional to 576.25, 864.84 and 518.84

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Solution

The fourth proportional to 576.25, 864.84 and 518.84 is: 778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.25 : 864.84 = 518.84 : x
  2. Step 2: Convert to fraction form
    576.25/864.84 = 518.84/x
  3. Step 3: Cross multiply
    576.25x = 864.84 × 518.84
  4. Step 4: Simplify right side
    576.25x = 448,714.45
  5. Step 5: Solve for x
    x = 448,714.45/576.25
  6. Step 6: Final answer
    x = 778.68

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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.