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Finding the Fourth Proportional to 499.85, 689.80 and 278.80

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Solution

The fourth proportional to 499.85, 689.80 and 278.80 is: 384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.85 : 689.80 = 278.80 : x
  2. Step 2: Convert to fraction form
    499.85/689.80 = 278.80/x
  3. Step 3: Cross multiply
    499.85x = 689.80 × 278.80
  4. Step 4: Simplify right side
    499.85x = 192,314.85
  5. Step 5: Solve for x
    x = 192,314.85/499.85
  6. Step 6: Final answer
    x = 384.74

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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.