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Finding the Fourth Proportional to 591.08, 814.80 and 450.90

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Solution

The fourth proportional to 591.08, 814.80 and 450.90 is: 621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.08 : 814.80 = 450.90 : x
  2. Step 2: Convert to fraction form
    591.08/814.80 = 450.90/x
  3. Step 3: Cross multiply
    591.08x = 814.80 × 450.90
  4. Step 4: Simplify right side
    591.08x = 367,393.32
  5. Step 5: Solve for x
    x = 367,393.32/591.08
  6. Step 6: Final answer
    x = 621.56

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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.