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Finding the Fourth Proportional to 568.09, 852.18 and 279.46

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Solution

The fourth proportional to 568.09, 852.18 and 279.46 is: 419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.09 : 852.18 = 279.46 : x
  2. Step 2: Convert to fraction form
    568.09/852.18 = 279.46/x
  3. Step 3: Cross multiply
    568.09x = 852.18 × 279.46
  4. Step 4: Simplify right side
    568.09x = 238,150.22
  5. Step 5: Solve for x
    x = 238,150.22/568.09
  6. Step 6: Final answer
    x = 419.21

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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.