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Finding the Fourth Proportional to 589.95, 813.87 and 341.22

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Solution

The fourth proportional to 589.95, 813.87 and 341.22 is: 470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.95 : 813.87 = 341.22 : x
  2. Step 2: Convert to fraction form
    589.95/813.87 = 341.22/x
  3. Step 3: Cross multiply
    589.95x = 813.87 × 341.22
  4. Step 4: Simplify right side
    589.95x = 277,708.72
  5. Step 5: Solve for x
    x = 277,708.72/589.95
  6. Step 6: Final answer
    x = 470.73

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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.