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Finding the Fourth Proportional to 694.25, 957.65 and 414.30

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Solution

The fourth proportional to 694.25, 957.65 and 414.30 is: 571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.25 : 957.65 = 414.30 : x
  2. Step 2: Convert to fraction form
    694.25/957.65 = 414.30/x
  3. Step 3: Cross multiply
    694.25x = 957.65 × 414.30
  4. Step 4: Simplify right side
    694.25x = 396,754.40
  5. Step 5: Solve for x
    x = 396,754.40/694.25
  6. Step 6: Final answer
    x = 571.49

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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.