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Finding the Fourth Proportional to 568.37, 852.33 and 203.06

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Solution

The fourth proportional to 568.37, 852.33 and 203.06 is: 304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.37 : 852.33 = 203.06 : x
  2. Step 2: Convert to fraction form
    568.37/852.33 = 203.06/x
  3. Step 3: Cross multiply
    568.37x = 852.33 × 203.06
  4. Step 4: Simplify right side
    568.37x = 173,074.13
  5. Step 5: Solve for x
    x = 173,074.13/568.37
  6. Step 6: Final answer
    x = 304.51

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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.