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Finding the Fourth Proportional to 696.19, 960.40 and 460.23

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Solution

The fourth proportional to 696.19, 960.40 and 460.23 is: 634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.19 : 960.40 = 460.23 : x
  2. Step 2: Convert to fraction form
    696.19/960.40 = 460.23/x
  3. Step 3: Cross multiply
    696.19x = 960.40 × 460.23
  4. Step 4: Simplify right side
    696.19x = 442,000.09
  5. Step 5: Solve for x
    x = 442,000.09/696.19
  6. Step 6: Final answer
    x = 634.89

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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.