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Finding the Fourth Proportional to 572.86, 859.29 and 379.08

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Solution

The fourth proportional to 572.86, 859.29 and 379.08 is: 568.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.86 : 859.29 = 379.08 : x
  2. Step 2: Convert to fraction form
    572.86/859.29 = 379.08/x
  3. Step 3: Cross multiply
    572.86x = 859.29 × 379.08
  4. Step 4: Simplify right side
    572.86x = 325,739.84
  5. Step 5: Solve for x
    x = 325,739.84/572.86
  6. Step 6: Final answer
    x = 568.62

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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.