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Finding the Fourth Proportional to 694.14, 957.93 and 432.18

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Solution

The fourth proportional to 694.14, 957.93 and 432.18 is: 596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.14 : 957.93 = 432.18 : x
  2. Step 2: Convert to fraction form
    694.14/957.93 = 432.18/x
  3. Step 3: Cross multiply
    694.14x = 957.93 × 432.18
  4. Step 4: Simplify right side
    694.14x = 413,998.19
  5. Step 5: Solve for x
    x = 413,998.19/694.14
  6. Step 6: Final answer
    x = 596.42

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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.