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Finding the Fourth Proportional to 568.18, 851.82 and 260.03

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Solution

The fourth proportional to 568.18, 851.82 and 260.03 is: 389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.18 : 851.82 = 260.03 : x
  2. Step 2: Convert to fraction form
    568.18/851.82 = 260.03/x
  3. Step 3: Cross multiply
    568.18x = 851.82 × 260.03
  4. Step 4: Simplify right side
    568.18x = 221,495.12
  5. Step 5: Solve for x
    x = 221,495.12/568.18
  6. Step 6: Final answer
    x = 389.83

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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.