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Finding the Fourth Proportional to 649.03, 973.61 and 278.96

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Solution

The fourth proportional to 649.03, 973.61 and 278.96 is: 418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.03 : 973.61 = 278.96 : x
  2. Step 2: Convert to fraction form
    649.03/973.61 = 278.96/x
  3. Step 3: Cross multiply
    649.03x = 973.61 × 278.96
  4. Step 4: Simplify right side
    649.03x = 271,601.38
  5. Step 5: Solve for x
    x = 271,601.38/649.03
  6. Step 6: Final answer
    x = 418.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.