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Finding the Fourth Proportional to 380.34, 523.93 and 318.15

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Solution

The fourth proportional to 380.34, 523.93 and 318.15 is: 438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.34 : 523.93 = 318.15 : x
  2. Step 2: Convert to fraction form
    380.34/523.93 = 318.15/x
  3. Step 3: Cross multiply
    380.34x = 523.93 × 318.15
  4. Step 4: Simplify right side
    380.34x = 166,688.33
  5. Step 5: Solve for x
    x = 166,688.33/380.34
  6. Step 6: Final answer
    x = 438.26

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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.