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Finding the Fourth Proportional to 499.88, 690.23 and 433.60

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Solution

The fourth proportional to 499.88, 690.23 and 433.60 is: 598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.88 : 690.23 = 433.60 : x
  2. Step 2: Convert to fraction form
    499.88/690.23 = 433.60/x
  3. Step 3: Cross multiply
    499.88x = 690.23 × 433.60
  4. Step 4: Simplify right side
    499.88x = 299,283.73
  5. Step 5: Solve for x
    x = 299,283.73/499.88
  6. Step 6: Final answer
    x = 598.71

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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.