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Finding the Fourth Proportional to 693.92, 957.24 and 414.02

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Solution

The fourth proportional to 693.92, 957.24 and 414.02 is: 571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.92 : 957.24 = 414.02 : x
  2. Step 2: Convert to fraction form
    693.92/957.24 = 414.02/x
  3. Step 3: Cross multiply
    693.92x = 957.24 × 414.02
  4. Step 4: Simplify right side
    693.92x = 396,316.50
  5. Step 5: Solve for x
    x = 396,316.50/693.92
  6. Step 6: Final answer
    x = 571.13

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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.