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Finding the Fourth Proportional to 568.53, 852.80 and 203.30

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Solution

The fourth proportional to 568.53, 852.80 and 203.30 is: 304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.53 : 852.80 = 203.30 : x
  2. Step 2: Convert to fraction form
    568.53/852.80 = 203.30/x
  3. Step 3: Cross multiply
    568.53x = 852.80 × 203.30
  4. Step 4: Simplify right side
    568.53x = 173,376.78
  5. Step 5: Solve for x
    x = 173,376.78/568.53
  6. Step 6: Final answer
    x = 304.96

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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.