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Finding the Fourth Proportional to 499.78, 689.67 and 278.70

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Solution

The fourth proportional to 499.78, 689.67 and 278.70 is: 384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.78 : 689.67 = 278.70 : x
  2. Step 2: Convert to fraction form
    499.78/689.67 = 278.70/x
  3. Step 3: Cross multiply
    499.78x = 689.67 × 278.70
  4. Step 4: Simplify right side
    499.78x = 192,211.03
  5. Step 5: Solve for x
    x = 192,211.03/499.78
  6. Step 6: Final answer
    x = 384.59

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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.