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Finding the Fourth Proportional to 463.68, 696.14 and 395.64

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Solution

The fourth proportional to 463.68, 696.14 and 395.64 is: 593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.68 : 696.14 = 395.64 : x
  2. Step 2: Convert to fraction form
    463.68/696.14 = 395.64/x
  3. Step 3: Cross multiply
    463.68x = 696.14 × 395.64
  4. Step 4: Simplify right side
    463.68x = 275,420.83
  5. Step 5: Solve for x
    x = 275,420.83/463.68
  6. Step 6: Final answer
    x = 593.99

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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.