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Finding the Fourth Proportional to 568.25, 852.54 and 203.06

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Solution

The fourth proportional to 568.25, 852.54 and 203.06 is: 304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.25 : 852.54 = 203.06 : x
  2. Step 2: Convert to fraction form
    568.25/852.54 = 203.06/x
  3. Step 3: Cross multiply
    568.25x = 852.54 × 203.06
  4. Step 4: Simplify right side
    568.25x = 173,115.76
  5. Step 5: Solve for x
    x = 173,115.76/568.25
  6. Step 6: Final answer
    x = 304.65

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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.