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Finding the Fourth Proportional to 590.04, 814.02 and 353.99

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Solution

The fourth proportional to 590.04, 814.02 and 353.99 is: 488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.04 : 814.02 = 353.99 : x
  2. Step 2: Convert to fraction form
    590.04/814.02 = 353.99/x
  3. Step 3: Cross multiply
    590.04x = 814.02 × 353.99
  4. Step 4: Simplify right side
    590.04x = 288,149.10
  5. Step 5: Solve for x
    x = 288,149.10/590.04
  6. Step 6: Final answer
    x = 488.36

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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.