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Finding the Fourth Proportional to 494.00, 736.16 and 464.79

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Solution

The fourth proportional to 494.00, 736.16 and 464.79 is: 692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.00 : 736.16 = 464.79 : x
  2. Step 2: Convert to fraction form
    494.00/736.16 = 464.79/x
  3. Step 3: Cross multiply
    494.00x = 736.16 × 464.79
  4. Step 4: Simplify right side
    494.00x = 342,160.02
  5. Step 5: Solve for x
    x = 342,160.02/494.00
  6. Step 6: Final answer
    x = 692.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.