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Finding the Fourth Proportional to 568.56, 852.95 and 260.42

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Solution

The fourth proportional to 568.56, 852.95 and 260.42 is: 390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.56 : 852.95 = 260.42 : x
  2. Step 2: Convert to fraction form
    568.56/852.95 = 260.42/x
  3. Step 3: Cross multiply
    568.56x = 852.95 × 260.42
  4. Step 4: Simplify right side
    568.56x = 222,121.80
  5. Step 5: Solve for x
    x = 222,121.80/568.56
  6. Step 6: Final answer
    x = 390.68

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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.