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Finding the Fourth Proportional to 617.68, 926.79 and 293.28

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Solution

The fourth proportional to 617.68, 926.79 and 293.28 is: 440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.68 : 926.79 = 293.28 : x
  2. Step 2: Convert to fraction form
    617.68/926.79 = 293.28/x
  3. Step 3: Cross multiply
    617.68x = 926.79 × 293.28
  4. Step 4: Simplify right side
    617.68x = 271,808.97
  5. Step 5: Solve for x
    x = 271,808.97/617.68
  6. Step 6: Final answer
    x = 440.05

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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.