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Finding the Fourth Proportional to 499.90, 689.43 and 359.95

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Solution

The fourth proportional to 499.90, 689.43 and 359.95 is: 496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.90 : 689.43 = 359.95 : x
  2. Step 2: Convert to fraction form
    499.90/689.43 = 359.95/x
  3. Step 3: Cross multiply
    499.90x = 689.43 × 359.95
  4. Step 4: Simplify right side
    499.90x = 248,160.33
  5. Step 5: Solve for x
    x = 248,160.33/499.90
  6. Step 6: Final answer
    x = 496.42

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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.