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Finding the Fourth Proportional to 568.24, 852.39 and 202.90

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Solution

The fourth proportional to 568.24, 852.39 and 202.90 is: 304.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.24 : 852.39 = 202.90 : x
  2. Step 2: Convert to fraction form
    568.24/852.39 = 202.90/x
  3. Step 3: Cross multiply
    568.24x = 852.39 × 202.90
  4. Step 4: Simplify right side
    568.24x = 172,949.93
  5. Step 5: Solve for x
    x = 172,949.93/568.24
  6. Step 6: Final answer
    x = 304.36

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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.