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Finding the Fourth Proportional to 590.40, 814.80 and 450.72

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Solution

The fourth proportional to 590.40, 814.80 and 450.72 is: 622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.40 : 814.80 = 450.72 : x
  2. Step 2: Convert to fraction form
    590.40/814.80 = 450.72/x
  3. Step 3: Cross multiply
    590.40x = 814.80 × 450.72
  4. Step 4: Simplify right side
    590.40x = 367,246.66
  5. Step 5: Solve for x
    x = 367,246.66/590.40
  6. Step 6: Final answer
    x = 622.03

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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.