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Finding the Fourth Proportional to 617.92, 926.12 and 309.84

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Solution

The fourth proportional to 617.92, 926.12 and 309.84 is: 464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.92 : 926.12 = 309.84 : x
  2. Step 2: Convert to fraction form
    617.92/926.12 = 309.84/x
  3. Step 3: Cross multiply
    617.92x = 926.12 × 309.84
  4. Step 4: Simplify right side
    617.92x = 286,949.02
  5. Step 5: Solve for x
    x = 286,949.02/617.92
  6. Step 6: Final answer
    x = 464.38

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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.