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Finding the Fourth Proportional to 696.32, 959.92 and 430.58

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Solution

The fourth proportional to 696.32, 959.92 and 430.58 is: 593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.32 : 959.92 = 430.58 : x
  2. Step 2: Convert to fraction form
    696.32/959.92 = 430.58/x
  3. Step 3: Cross multiply
    696.32x = 959.92 × 430.58
  4. Step 4: Simplify right side
    696.32x = 413,323.68
  5. Step 5: Solve for x
    x = 413,323.68/696.32
  6. Step 6: Final answer
    x = 593.58

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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.