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Finding the Fourth Proportional to 589.06, 813.41 and 558.48

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Solution

The fourth proportional to 589.06, 813.41 and 558.48 is: 771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.06 : 813.41 = 558.48 : x
  2. Step 2: Convert to fraction form
    589.06/813.41 = 558.48/x
  3. Step 3: Cross multiply
    589.06x = 813.41 × 558.48
  4. Step 4: Simplify right side
    589.06x = 454,273.22
  5. Step 5: Solve for x
    x = 454,273.22/589.06
  6. Step 6: Final answer
    x = 771.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.