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Finding the Fourth Proportional to 499.91, 689.72 and 325.13

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Solution

The fourth proportional to 499.91, 689.72 and 325.13 is: 448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.91 : 689.72 = 325.13 : x
  2. Step 2: Convert to fraction form
    499.91/689.72 = 325.13/x
  3. Step 3: Cross multiply
    499.91x = 689.72 × 325.13
  4. Step 4: Simplify right side
    499.91x = 224,243.59
  5. Step 5: Solve for x
    x = 224,243.59/499.91
  6. Step 6: Final answer
    x = 448.57

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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.