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Finding the Fourth Proportional to 568.06, 852.30 and 275.68

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Solution

The fourth proportional to 568.06, 852.30 and 275.68 is: 413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.06 : 852.30 = 275.68 : x
  2. Step 2: Convert to fraction form
    568.06/852.30 = 275.68/x
  3. Step 3: Cross multiply
    568.06x = 852.30 × 275.68
  4. Step 4: Simplify right side
    568.06x = 234,962.06
  5. Step 5: Solve for x
    x = 234,962.06/568.06
  6. Step 6: Final answer
    x = 413.62

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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.