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Finding the Fourth Proportional to 568.06, 852.18 and 202.76

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Solution

The fourth proportional to 568.06, 852.18 and 202.76 is: 304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.06 : 852.18 = 202.76 : x
  2. Step 2: Convert to fraction form
    568.06/852.18 = 202.76/x
  3. Step 3: Cross multiply
    568.06x = 852.18 × 202.76
  4. Step 4: Simplify right side
    568.06x = 172,788.02
  5. Step 5: Solve for x
    x = 172,788.02/568.06
  6. Step 6: Final answer
    x = 304.17

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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.