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Finding the Fourth Proportional to 568.76, 852.95 and 203.49

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Solution

The fourth proportional to 568.76, 852.95 and 203.49 is: 305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.76 : 852.95 = 203.49 : x
  2. Step 2: Convert to fraction form
    568.76/852.95 = 203.49/x
  3. Step 3: Cross multiply
    568.76x = 852.95 × 203.49
  4. Step 4: Simplify right side
    568.76x = 173,567.30
  5. Step 5: Solve for x
    x = 173,567.30/568.76
  6. Step 6: Final answer
    x = 305.17

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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.