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Finding the Fourth Proportional to 581.88, 872.97 and 338.61

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Solution

The fourth proportional to 581.88, 872.97 and 338.61 is: 508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.88 : 872.97 = 338.61 : x
  2. Step 2: Convert to fraction form
    581.88/872.97 = 338.61/x
  3. Step 3: Cross multiply
    581.88x = 872.97 × 338.61
  4. Step 4: Simplify right side
    581.88x = 295,596.37
  5. Step 5: Solve for x
    x = 295,596.37/581.88
  6. Step 6: Final answer
    x = 508.00

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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.