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Finding the Fourth Proportional to 590.33, 814.65 and 354.29

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Solution

The fourth proportional to 590.33, 814.65 and 354.29 is: 488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.33 : 814.65 = 354.29 : x
  2. Step 2: Convert to fraction form
    590.33/814.65 = 354.29/x
  3. Step 3: Cross multiply
    590.33x = 814.65 × 354.29
  4. Step 4: Simplify right side
    590.33x = 288,618.28
  5. Step 5: Solve for x
    x = 288,618.28/590.33
  6. Step 6: Final answer
    x = 488.91

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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.