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Finding the Fourth Proportional to 380.03, 523.53 and 314.42

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Solution

The fourth proportional to 380.03, 523.53 and 314.42 is: 433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.03 : 523.53 = 314.42 : x
  2. Step 2: Convert to fraction form
    380.03/523.53 = 314.42/x
  3. Step 3: Cross multiply
    380.03x = 523.53 × 314.42
  4. Step 4: Simplify right side
    380.03x = 164,605.68
  5. Step 5: Solve for x
    x = 164,605.68/380.03
  6. Step 6: Final answer
    x = 433.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.