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Finding the Fourth Proportional to 568, 852.32 and 264

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Solution

The fourth proportional to 568, 852.32 and 264 is: 396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    568 : 852.32 = 264 : x
  2. Step 2: Convert to fraction form
    568/852.32 = 264/x
  3. Step 3: Cross multiply
    568x = 852.32 × 264
  4. Step 4: Simplify right side
    568x = 225,012.48
  5. Step 5: Solve for x
    x = 225,012.48/568
  6. Step 6: Final answer
    x = 396.15

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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.