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Finding the Fourth Proportional to 568.04, 852.30 and 243.56

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Solution

The fourth proportional to 568.04, 852.30 and 243.56 is: 365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.04 : 852.30 = 243.56 : x
  2. Step 2: Convert to fraction form
    568.04/852.30 = 243.56/x
  3. Step 3: Cross multiply
    568.04x = 852.30 × 243.56
  4. Step 4: Simplify right side
    568.04x = 207,586.19
  5. Step 5: Solve for x
    x = 207,586.19/568.04
  6. Step 6: Final answer
    x = 365.44

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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.