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Finding the Fourth Proportional to 590.35, 814.68 and 354.31

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Solution

The fourth proportional to 590.35, 814.68 and 354.31 is: 488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.35 : 814.68 = 354.31 : x
  2. Step 2: Convert to fraction form
    590.35/814.68 = 354.31/x
  3. Step 3: Cross multiply
    590.35x = 814.68 × 354.31
  4. Step 4: Simplify right side
    590.35x = 288,647.23
  5. Step 5: Solve for x
    x = 288,647.23/590.35
  6. Step 6: Final answer
    x = 488.94

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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.