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Finding the Fourth Proportional to 499.30, 689.03 and 278.24

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Solution

The fourth proportional to 499.30, 689.03 and 278.24 is: 383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.30 : 689.03 = 278.24 : x
  2. Step 2: Convert to fraction form
    499.30/689.03 = 278.24/x
  3. Step 3: Cross multiply
    499.30x = 689.03 × 278.24
  4. Step 4: Simplify right side
    499.30x = 191,712.96
  5. Step 5: Solve for x
    x = 191,712.96/499.30
  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.