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Finding the Fourth Proportional to 693.84, 957.46 and 414.39

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Solution

The fourth proportional to 693.84, 957.46 and 414.39 is: 571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.84 : 957.46 = 414.39 : x
  2. Step 2: Convert to fraction form
    693.84/957.46 = 414.39/x
  3. Step 3: Cross multiply
    693.84x = 957.46 × 414.39
  4. Step 4: Simplify right side
    693.84x = 396,761.85
  5. Step 5: Solve for x
    x = 396,761.85/693.84
  6. Step 6: Final answer
    x = 571.83

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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.