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Finding the Fourth Proportional to 499.23, 689.00 and 278.21

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Solution

The fourth proportional to 499.23, 689.00 and 278.21 is: 383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.23 : 689.00 = 278.21 : x
  2. Step 2: Convert to fraction form
    499.23/689.00 = 278.21/x
  3. Step 3: Cross multiply
    499.23x = 689.00 × 278.21
  4. Step 4: Simplify right side
    499.23x = 191,687.02
  5. Step 5: Solve for x
    x = 191,687.02/499.23
  6. Step 6: Final answer
    x = 383.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.