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Finding the Fourth Proportional to 590.49, 814.23 and 380.67

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Solution

The fourth proportional to 590.49, 814.23 and 380.67 is: 524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.49 : 814.23 = 380.67 : x
  2. Step 2: Convert to fraction form
    590.49/814.23 = 380.67/x
  3. Step 3: Cross multiply
    590.49x = 814.23 × 380.67
  4. Step 4: Simplify right side
    590.49x = 309,952.93
  5. Step 5: Solve for x
    x = 309,952.93/590.49
  6. Step 6: Final answer
    x = 524.91

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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.