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Finding the Fourth Proportional to 568.21, 852.25 and 259.98

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Solution

The fourth proportional to 568.21, 852.25 and 259.98 is: 389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.21 : 852.25 = 259.98 : x
  2. Step 2: Convert to fraction form
    568.21/852.25 = 259.98/x
  3. Step 3: Cross multiply
    568.21x = 852.25 × 259.98
  4. Step 4: Simplify right side
    568.21x = 221,567.96
  5. Step 5: Solve for x
    x = 221,567.96/568.21
  6. Step 6: Final answer
    x = 389.94

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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.