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Finding the Fourth Proportional to 696.24, 960.66 and 464.04

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Solution

The fourth proportional to 696.24, 960.66 and 464.04 is: 640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.24 : 960.66 = 464.04 : x
  2. Step 2: Convert to fraction form
    696.24/960.66 = 464.04/x
  3. Step 3: Cross multiply
    696.24x = 960.66 × 464.04
  4. Step 4: Simplify right side
    696.24x = 445,784.67
  5. Step 5: Solve for x
    x = 445,784.67/696.24
  6. Step 6: Final answer
    x = 640.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.