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Finding the Fourth Proportional to 696.01, 960.84 and 460.30

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Solution

The fourth proportional to 696.01, 960.84 and 460.30 is: 635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.01 : 960.84 = 460.30 : x
  2. Step 2: Convert to fraction form
    696.01/960.84 = 460.30/x
  3. Step 3: Cross multiply
    696.01x = 960.84 × 460.30
  4. Step 4: Simplify right side
    696.01x = 442,274.65
  5. Step 5: Solve for x
    x = 442,274.65/696.01
  6. Step 6: Final answer
    x = 635.44

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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.