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Finding the Fourth Proportional to 499.24, 689.36 and 369.64

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Solution

The fourth proportional to 499.24, 689.36 and 369.64 is: 510.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.24 : 689.36 = 369.64 : x
  2. Step 2: Convert to fraction form
    499.24/689.36 = 369.64/x
  3. Step 3: Cross multiply
    499.24x = 689.36 × 369.64
  4. Step 4: Simplify right side
    499.24x = 254,815.03
  5. Step 5: Solve for x
    x = 254,815.03/499.24
  6. Step 6: Final answer
    x = 510.41

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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.