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Finding the Fourth Proportional to 694.20, 957.78 and 432.28

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Solution

The fourth proportional to 694.20, 957.78 and 432.28 is: 596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.20 : 957.78 = 432.28 : x
  2. Step 2: Convert to fraction form
    694.20/957.78 = 432.28/x
  3. Step 3: Cross multiply
    694.20x = 957.78 × 432.28
  4. Step 4: Simplify right side
    694.20x = 414,029.14
  5. Step 5: Solve for x
    x = 414,029.14/694.20
  6. Step 6: Final answer
    x = 596.41

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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.