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Finding the Fourth Proportional to 587, 809.99 and 324.98

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Solution

The fourth proportional to 587, 809.99 and 324.98 is: 448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    587 : 809.99 = 324.98 : x
  2. Step 2: Convert to fraction form
    587/809.99 = 324.98/x
  3. Step 3: Cross multiply
    587x = 809.99 × 324.98
  4. Step 4: Simplify right side
    587x = 263,230.55
  5. Step 5: Solve for x
    x = 263,230.55/587
  6. Step 6: Final answer
    x = 448.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.