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Finding the Fourth Proportional to 590.30, 884.31 and 458.63

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Solution

The fourth proportional to 590.30, 884.31 and 458.63 is: 687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.30 : 884.31 = 458.63 : x
  2. Step 2: Convert to fraction form
    590.30/884.31 = 458.63/x
  3. Step 3: Cross multiply
    590.30x = 884.31 × 458.63
  4. Step 4: Simplify right side
    590.30x = 405,571.10
  5. Step 5: Solve for x
    x = 405,571.10/590.30
  6. Step 6: Final answer
    x = 687.06

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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.