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Finding the Fourth Proportional to 696.06, 960.46 and 460.49

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Solution

The fourth proportional to 696.06, 960.46 and 460.49 is: 635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.06 : 960.46 = 460.49 : x
  2. Step 2: Convert to fraction form
    696.06/960.46 = 460.49/x
  3. Step 3: Cross multiply
    696.06x = 960.46 × 460.49
  4. Step 4: Simplify right side
    696.06x = 442,276.27
  5. Step 5: Solve for x
    x = 442,276.27/696.06
  6. Step 6: Final answer
    x = 635.40

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Half scale
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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.