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Finding the Fourth Proportional to 695.66, 960.12 and 433.69

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Solution

The fourth proportional to 695.66, 960.12 and 433.69 is: 598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.66 : 960.12 = 433.69 : x
  2. Step 2: Convert to fraction form
    695.66/960.12 = 433.69/x
  3. Step 3: Cross multiply
    695.66x = 960.12 × 433.69
  4. Step 4: Simplify right side
    695.66x = 416,392.04
  5. Step 5: Solve for x
    x = 416,392.04/695.66
  6. Step 6: Final answer
    x = 598.56

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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.