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Finding the Fourth Proportional to 617.00, 926.06 and 496.04

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Solution

The fourth proportional to 617.00, 926.06 and 496.04 is: 744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.00 : 926.06 = 496.04 : x
  2. Step 2: Convert to fraction form
    617.00/926.06 = 496.04/x
  3. Step 3: Cross multiply
    617.00x = 926.06 × 496.04
  4. Step 4: Simplify right side
    617.00x = 459,355.69
  5. Step 5: Solve for x
    x = 459,355.69/617.00
  6. Step 6: Final answer
    x = 744.50

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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.