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Finding the Fourth Proportional to 694.17, 957.96 and 414.59

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Solution

The fourth proportional to 694.17, 957.96 and 414.59 is: 572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.17 : 957.96 = 414.59 : x
  2. Step 2: Convert to fraction form
    694.17/957.96 = 414.59/x
  3. Step 3: Cross multiply
    694.17x = 957.96 × 414.59
  4. Step 4: Simplify right side
    694.17x = 397,155.85
  5. Step 5: Solve for x
    x = 397,155.85/694.17
  6. Step 6: Final answer
    x = 572.13

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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.