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Finding the Fourth Proportional to 693.70, 957.16 and 414.04

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Solution

The fourth proportional to 693.70, 957.16 and 414.04 is: 571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.70 : 957.16 = 414.04 : x
  2. Step 2: Convert to fraction form
    693.70/957.16 = 414.04/x
  3. Step 3: Cross multiply
    693.70x = 957.16 × 414.04
  4. Step 4: Simplify right side
    693.70x = 396,302.53
  5. Step 5: Solve for x
    x = 396,302.53/693.70
  6. Step 6: Final answer
    x = 571.29

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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.