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Finding the Fourth Proportional to 579.62, 868.59 and 435.44

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Solution

The fourth proportional to 579.62, 868.59 and 435.44 is: 652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.62 : 868.59 = 435.44 : x
  2. Step 2: Convert to fraction form
    579.62/868.59 = 435.44/x
  3. Step 3: Cross multiply
    579.62x = 868.59 × 435.44
  4. Step 4: Simplify right side
    579.62x = 378,214.49
  5. Step 5: Solve for x
    x = 378,214.49/579.62
  6. Step 6: Final answer
    x = 652.53

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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.