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Finding the Fourth Proportional to 499.30, 688.99 and 278.21

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Solution

The fourth proportional to 499.30, 688.99 and 278.21 is: 383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.30 : 688.99 = 278.21 : x
  2. Step 2: Convert to fraction form
    499.30/688.99 = 278.21/x
  3. Step 3: Cross multiply
    499.30x = 688.99 × 278.21
  4. Step 4: Simplify right side
    499.30x = 191,683.91
  5. Step 5: Solve for x
    x = 191,683.91/499.30
  6. Step 6: Final answer
    x = 383.91

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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.