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Finding the Fourth Proportional to 584.09, 875.79 and 389.20

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Solution

The fourth proportional to 584.09, 875.79 and 389.20 is: 583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.09 : 875.79 = 389.20 : x
  2. Step 2: Convert to fraction form
    584.09/875.79 = 389.20/x
  3. Step 3: Cross multiply
    584.09x = 875.79 × 389.20
  4. Step 4: Simplify right side
    584.09x = 340,857.47
  5. Step 5: Solve for x
    x = 340,857.47/584.09
  6. Step 6: Final answer
    x = 583.57

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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.