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Finding the Fourth Proportional to 590.08, 814.42 and 366.14

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Solution

The fourth proportional to 590.08, 814.42 and 366.14 is: 505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.08 : 814.42 = 366.14 : x
  2. Step 2: Convert to fraction form
    590.08/814.42 = 366.14/x
  3. Step 3: Cross multiply
    590.08x = 814.42 × 366.14
  4. Step 4: Simplify right side
    590.08x = 298,191.74
  5. Step 5: Solve for x
    x = 298,191.74/590.08
  6. Step 6: Final answer
    x = 505.34

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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.