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Finding the Fourth Proportional to 499.74, 689.40 and 322.80

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Solution

The fourth proportional to 499.74, 689.40 and 322.80 is: 445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.74 : 689.40 = 322.80 : x
  2. Step 2: Convert to fraction form
    499.74/689.40 = 322.80/x
  3. Step 3: Cross multiply
    499.74x = 689.40 × 322.80
  4. Step 4: Simplify right side
    499.74x = 222,538.32
  5. Step 5: Solve for x
    x = 222,538.32/499.74
  6. Step 6: Final answer
    x = 445.31

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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.