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Finding the Fourth Proportional to 568.34, 851.64 and 362.42

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Solution

The fourth proportional to 568.34, 851.64 and 362.42 is: 543.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.34 : 851.64 = 362.42 : x
  2. Step 2: Convert to fraction form
    568.34/851.64 = 362.42/x
  3. Step 3: Cross multiply
    568.34x = 851.64 × 362.42
  4. Step 4: Simplify right side
    568.34x = 308,651.37
  5. Step 5: Solve for x
    x = 308,651.37/568.34
  6. Step 6: Final answer
    x = 543.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.