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Finding the Fourth Proportional to 618.03, 926.24 and 464.94

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Solution

The fourth proportional to 618.03, 926.24 and 464.94 is: 696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.03 : 926.24 = 464.94 : x
  2. Step 2: Convert to fraction form
    618.03/926.24 = 464.94/x
  3. Step 3: Cross multiply
    618.03x = 926.24 × 464.94
  4. Step 4: Simplify right side
    618.03x = 430,643.70
  5. Step 5: Solve for x
    x = 430,643.70/618.03
  6. Step 6: Final answer
    x = 696.80

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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.