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Finding the Fourth Proportional to 589.91, 813.84 and 380.05

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Solution

The fourth proportional to 589.91, 813.84 and 380.05 is: 524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.91 : 813.84 = 380.05 : x
  2. Step 2: Convert to fraction form
    589.91/813.84 = 380.05/x
  3. Step 3: Cross multiply
    589.91x = 813.84 × 380.05
  4. Step 4: Simplify right side
    589.91x = 309,299.89
  5. Step 5: Solve for x
    x = 309,299.89/589.91
  6. Step 6: Final answer
    x = 524.32

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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.