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Finding the Fourth Proportional to 568.32, 852.47 and 276.26

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Solution

The fourth proportional to 568.32, 852.47 and 276.26 is: 414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.32 : 852.47 = 276.26 : x
  2. Step 2: Convert to fraction form
    568.32/852.47 = 276.26/x
  3. Step 3: Cross multiply
    568.32x = 852.47 × 276.26
  4. Step 4: Simplify right side
    568.32x = 235,505.10
  5. Step 5: Solve for x
    x = 235,505.10/568.32
  6. Step 6: Final answer
    x = 414.39

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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.