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Finding the Fourth Proportional to 649.13, 973.82 and 278.93

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Solution

The fourth proportional to 649.13, 973.82 and 278.93 is: 418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.13 : 973.82 = 278.93 : x
  2. Step 2: Convert to fraction form
    649.13/973.82 = 278.93/x
  3. Step 3: Cross multiply
    649.13x = 973.82 × 278.93
  4. Step 4: Simplify right side
    649.13x = 271,627.61
  5. Step 5: Solve for x
    x = 271,627.61/649.13
  6. Step 6: Final answer
    x = 418.45

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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.