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Finding the Fourth Proportional to 499.61, 689.40 and 289.74

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Solution

The fourth proportional to 499.61, 689.40 and 289.74 is: 399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.61 : 689.40 = 289.74 : x
  2. Step 2: Convert to fraction form
    499.61/689.40 = 289.74/x
  3. Step 3: Cross multiply
    499.61x = 689.40 × 289.74
  4. Step 4: Simplify right side
    499.61x = 199,747.84
  5. Step 5: Solve for x
    x = 199,747.84/499.61
  6. Step 6: Final answer
    x = 399.81

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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.