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Finding the Fourth Proportional to 590.18, 883.11 and 494.06

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Solution

The fourth proportional to 590.18, 883.11 and 494.06 is: 739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.18 : 883.11 = 494.06 : x
  2. Step 2: Convert to fraction form
    590.18/883.11 = 494.06/x
  3. Step 3: Cross multiply
    590.18x = 883.11 × 494.06
  4. Step 4: Simplify right side
    590.18x = 436,309.33
  5. Step 5: Solve for x
    x = 436,309.33/590.18
  6. Step 6: Final answer
    x = 739.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.