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Finding the Fourth Proportional to 568.63, 852.12 and 308.41

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Solution

The fourth proportional to 568.63, 852.12 and 308.41 is: 462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.63 : 852.12 = 308.41 : x
  2. Step 2: Convert to fraction form
    568.63/852.12 = 308.41/x
  3. Step 3: Cross multiply
    568.63x = 852.12 × 308.41
  4. Step 4: Simplify right side
    568.63x = 262,802.33
  5. Step 5: Solve for x
    x = 262,802.33/568.63
  6. Step 6: Final answer
    x = 462.17

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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.