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Finding the Fourth Proportional to 499.09, 688.73 and 278.04

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Solution

The fourth proportional to 499.09, 688.73 and 278.04 is: 383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.09 : 688.73 = 278.04 : x
  2. Step 2: Convert to fraction form
    499.09/688.73 = 278.04/x
  3. Step 3: Cross multiply
    499.09x = 688.73 × 278.04
  4. Step 4: Simplify right side
    499.09x = 191,494.49
  5. Step 5: Solve for x
    x = 191,494.49/499.09
  6. Step 6: Final answer
    x = 383.69

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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.