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Finding the Fourth Proportional to 473.53, 709.38 and 396.38

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Solution

The fourth proportional to 473.53, 709.38 and 396.38 is: 593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.53 : 709.38 = 396.38 : x
  2. Step 2: Convert to fraction form
    473.53/709.38 = 396.38/x
  3. Step 3: Cross multiply
    473.53x = 709.38 × 396.38
  4. Step 4: Simplify right side
    473.53x = 281,184.04
  5. Step 5: Solve for x
    x = 281,184.04/473.53
  6. Step 6: Final answer
    x = 593.80

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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.