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Finding the Fourth Proportional to 579.45, 866.99 and 406.45

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Solution

The fourth proportional to 579.45, 866.99 and 406.45 is: 608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.45 : 866.99 = 406.45 : x
  2. Step 2: Convert to fraction form
    579.45/866.99 = 406.45/x
  3. Step 3: Cross multiply
    579.45x = 866.99 × 406.45
  4. Step 4: Simplify right side
    579.45x = 352,387.90
  5. Step 5: Solve for x
    x = 352,387.90/579.45
  6. Step 6: Final answer
    x = 608.15

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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.