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Finding the Fourth Proportional to 589.87, 813.83 and 341.15

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Solution

The fourth proportional to 589.87, 813.83 and 341.15 is: 470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.87 : 813.83 = 341.15 : x
  2. Step 2: Convert to fraction form
    589.87/813.83 = 341.15/x
  3. Step 3: Cross multiply
    589.87x = 813.83 × 341.15
  4. Step 4: Simplify right side
    589.87x = 277,638.10
  5. Step 5: Solve for x
    x = 277,638.10/589.87
  6. Step 6: Final answer
    x = 470.68

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Why These Related Problems?

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