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Finding the Fourth Proportional to 590.92, 814.73 and 380.75

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Solution

The fourth proportional to 590.92, 814.73 and 380.75 is: 524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.92 : 814.73 = 380.75 : x
  2. Step 2: Convert to fraction form
    590.92/814.73 = 380.75/x
  3. Step 3: Cross multiply
    590.92x = 814.73 × 380.75
  4. Step 4: Simplify right side
    590.92x = 310,202.47
  5. Step 5: Solve for x
    x = 310,202.47/590.92
  6. Step 6: Final answer
    x = 524.95

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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.