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Finding the Fourth Proportional to 590.28, 884.21 and 474.09

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Solution

The fourth proportional to 590.28, 884.21 and 474.09 is: 710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.28 : 884.21 = 474.09 : x
  2. Step 2: Convert to fraction form
    590.28/884.21 = 474.09/x
  3. Step 3: Cross multiply
    590.28x = 884.21 × 474.09
  4. Step 4: Simplify right side
    590.28x = 419,195.12
  5. Step 5: Solve for x
    x = 419,195.12/590.28
  6. Step 6: Final answer
    x = 710.16

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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.