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Finding the Fourth Proportional to 696.32, 961.08 and 434.60

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Solution

The fourth proportional to 696.32, 961.08 and 434.60 is: 599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.32 : 961.08 = 434.60 : x
  2. Step 2: Convert to fraction form
    696.32/961.08 = 434.60/x
  3. Step 3: Cross multiply
    696.32x = 961.08 × 434.60
  4. Step 4: Simplify right side
    696.32x = 417,685.37
  5. Step 5: Solve for x
    x = 417,685.37/696.32
  6. Step 6: Final answer
    x = 599.85

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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.