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Finding the Fourth Proportional to 568.38, 852.72 and 459.68

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Solution

The fourth proportional to 568.38, 852.72 and 459.68 is: 689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.38 : 852.72 = 459.68 : x
  2. Step 2: Convert to fraction form
    568.38/852.72 = 459.68/x
  3. Step 3: Cross multiply
    568.38x = 852.72 × 459.68
  4. Step 4: Simplify right side
    568.38x = 391,978.33
  5. Step 5: Solve for x
    x = 391,978.33/568.38
  6. Step 6: Final answer
    x = 689.64

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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.