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Finding the Fourth Proportional to 463.10, 693.30 and 409.10

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Solution

The fourth proportional to 463.10, 693.30 and 409.10 is: 612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.10 : 693.30 = 409.10 : x
  2. Step 2: Convert to fraction form
    463.10/693.30 = 409.10/x
  3. Step 3: Cross multiply
    463.10x = 693.30 × 409.10
  4. Step 4: Simplify right side
    463.10x = 283,629.03
  5. Step 5: Solve for x
    x = 283,629.03/463.10
  6. Step 6: Final answer
    x = 612.46

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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.