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Finding the Fourth Proportional to 590.34, 814.41 and 357.42

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Solution

The fourth proportional to 590.34, 814.41 and 357.42 is: 493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.34 : 814.41 = 357.42 : x
  2. Step 2: Convert to fraction form
    590.34/814.41 = 357.42/x
  3. Step 3: Cross multiply
    590.34x = 814.41 × 357.42
  4. Step 4: Simplify right side
    590.34x = 291,086.42
  5. Step 5: Solve for x
    x = 291,086.42/590.34
  6. Step 6: Final answer
    x = 493.08

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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.