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Finding the Fourth Proportional to 552.65, 828.99 and 406.58

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Solution

The fourth proportional to 552.65, 828.99 and 406.58 is: 609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.65 : 828.99 = 406.58 : x
  2. Step 2: Convert to fraction form
    552.65/828.99 = 406.58/x
  3. Step 3: Cross multiply
    552.65x = 828.99 × 406.58
  4. Step 4: Simplify right side
    552.65x = 337,046.61
  5. Step 5: Solve for x
    x = 337,046.61/552.65
  6. Step 6: Final answer
    x = 609.88

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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.