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Finding the Fourth Proportional to 574.69, 861.97 and 390.77

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Solution

The fourth proportional to 574.69, 861.97 and 390.77 is: 586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.69 : 861.97 = 390.77 : x
  2. Step 2: Convert to fraction form
    574.69/861.97 = 390.77/x
  3. Step 3: Cross multiply
    574.69x = 861.97 × 390.77
  4. Step 4: Simplify right side
    574.69x = 336,833.19
  5. Step 5: Solve for x
    x = 336,833.19/574.69
  6. Step 6: Final answer
    x = 586.12

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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.