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Finding the Fourth Proportional to 696.14, 960.40 and 460.22

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Solution

The fourth proportional to 696.14, 960.40 and 460.22 is: 634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.14 : 960.40 = 460.22 : x
  2. Step 2: Convert to fraction form
    696.14/960.40 = 460.22/x
  3. Step 3: Cross multiply
    696.14x = 960.40 × 460.22
  4. Step 4: Simplify right side
    696.14x = 441,989.34
  5. Step 5: Solve for x
    x = 441,989.34/696.14
  6. Step 6: Final answer
    x = 634.91

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Double scale
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1.5x scale

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.