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Finding the Fourth Proportional to 500.82, 689.46 and 369.60

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Solution

The fourth proportional to 500.82, 689.46 and 369.60 is: 508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.82 : 689.46 = 369.60 : x
  2. Step 2: Convert to fraction form
    500.82/689.46 = 369.60/x
  3. Step 3: Cross multiply
    500.82x = 689.46 × 369.60
  4. Step 4: Simplify right side
    500.82x = 254,824.42
  5. Step 5: Solve for x
    x = 254,824.42/500.82
  6. Step 6: Final answer
    x = 508.81

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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.