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Finding the Fourth Proportional to 552.20, 828.30 and 465.80

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Solution

The fourth proportional to 552.20, 828.30 and 465.80 is: 698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.20 : 828.30 = 465.80 : x
  2. Step 2: Convert to fraction form
    552.20/828.30 = 465.80/x
  3. Step 3: Cross multiply
    552.20x = 828.30 × 465.80
  4. Step 4: Simplify right side
    552.20x = 385,822.14
  5. Step 5: Solve for x
    x = 385,822.14/552.20
  6. Step 6: Final answer
    x = 698.70

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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.