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Finding the Fourth Proportional to 463.46, 693.77 and 333.46

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Solution

The fourth proportional to 463.46, 693.77 and 333.46 is: 499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.46 : 693.77 = 333.46 : x
  2. Step 2: Convert to fraction form
    463.46/693.77 = 333.46/x
  3. Step 3: Cross multiply
    463.46x = 693.77 × 333.46
  4. Step 4: Simplify right side
    463.46x = 231,341.08
  5. Step 5: Solve for x
    x = 231,341.08/463.46
  6. Step 6: Final answer
    x = 499.16

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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.