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Finding the Fourth Proportional to 579.82, 869.72 and 406

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Solution

The fourth proportional to 579.82, 869.72 and 406 is: 608.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.82 : 869.72 = 406 : x
  2. Step 2: Convert to fraction form
    579.82/869.72 = 406/x
  3. Step 3: Cross multiply
    579.82x = 869.72 × 406
  4. Step 4: Simplify right side
    579.82x = 353,106.32
  5. Step 5: Solve for x
    x = 353,106.32/579.82
  6. Step 6: Final answer
    x = 608.99

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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.