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Finding the Fourth Proportional to 590.04, 814.13 and 353.88

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Solution

The fourth proportional to 590.04, 814.13 and 353.88 is: 488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.04 : 814.13 = 353.88 : x
  2. Step 2: Convert to fraction form
    590.04/814.13 = 353.88/x
  3. Step 3: Cross multiply
    590.04x = 814.13 × 353.88
  4. Step 4: Simplify right side
    590.04x = 288,102.56
  5. Step 5: Solve for x
    x = 288,102.56/590.04
  6. Step 6: Final answer
    x = 488.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.