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Finding the Fourth Proportional to 696.90, 961.38 and 461.28

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Solution

The fourth proportional to 696.90, 961.38 and 461.28 is: 636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.90 : 961.38 = 461.28 : x
  2. Step 2: Convert to fraction form
    696.90/961.38 = 461.28/x
  3. Step 3: Cross multiply
    696.90x = 961.38 × 461.28
  4. Step 4: Simplify right side
    696.90x = 443,465.37
  5. Step 5: Solve for x
    x = 443,465.37/696.90
  6. Step 6: Final answer
    x = 636.34

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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.