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Finding the Fourth Proportional to 693.93, 957.30 and 414.01

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Solution

The fourth proportional to 693.93, 957.30 and 414.01 is: 571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.93 : 957.30 = 414.01 : x
  2. Step 2: Convert to fraction form
    693.93/957.30 = 414.01/x
  3. Step 3: Cross multiply
    693.93x = 957.30 × 414.01
  4. Step 4: Simplify right side
    693.93x = 396,331.77
  5. Step 5: Solve for x
    x = 396,331.77/693.93
  6. Step 6: Final answer
    x = 571.14

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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.