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Finding the Fourth Proportional to 589.86, 814.41 and 380.13

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Solution

The fourth proportional to 589.86, 814.41 and 380.13 is: 524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.86 : 814.41 = 380.13 : x
  2. Step 2: Convert to fraction form
    589.86/814.41 = 380.13/x
  3. Step 3: Cross multiply
    589.86x = 814.41 × 380.13
  4. Step 4: Simplify right side
    589.86x = 309,581.67
  5. Step 5: Solve for x
    x = 309,581.67/589.86
  6. Step 6: Final answer
    x = 524.84

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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.