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Finding the Fourth Proportional to 617.10, 927.78 and 496.21

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Solution

The fourth proportional to 617.10, 927.78 and 496.21 is: 746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.10 : 927.78 = 496.21 : x
  2. Step 2: Convert to fraction form
    617.10/927.78 = 496.21/x
  3. Step 3: Cross multiply
    617.10x = 927.78 × 496.21
  4. Step 4: Simplify right side
    617.10x = 460,373.71
  5. Step 5: Solve for x
    x = 460,373.71/617.10
  6. Step 6: Final answer
    x = 746.03

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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.