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Finding the Fourth Proportional to 463.02, 693.99 and 206.34

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Solution

The fourth proportional to 463.02, 693.99 and 206.34 is: 309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.02 : 693.99 = 206.34 : x
  2. Step 2: Convert to fraction form
    463.02/693.99 = 206.34/x
  3. Step 3: Cross multiply
    463.02x = 693.99 × 206.34
  4. Step 4: Simplify right side
    463.02x = 143,197.90
  5. Step 5: Solve for x
    x = 143,197.90/463.02
  6. Step 6: Final answer
    x = 309.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.