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Finding the Fourth Proportional to 575.99, 864 and 229.51

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Solution

The fourth proportional to 575.99, 864 and 229.51 is: 344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.99 : 864 = 229.51 : x
  2. Step 2: Convert to fraction form
    575.99/864 = 229.51/x
  3. Step 3: Cross multiply
    575.99x = 864 × 229.51
  4. Step 4: Simplify right side
    575.99x = 198,297.72
  5. Step 5: Solve for x
    x = 198,297.72/575.99
  6. Step 6: Final answer
    x = 344.27

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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.