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Finding the Fourth Proportional to 380.34, 523.98 and 314.64

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Solution

The fourth proportional to 380.34, 523.98 and 314.64 is: 433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.34 : 523.98 = 314.64 : x
  2. Step 2: Convert to fraction form
    380.34/523.98 = 314.64/x
  3. Step 3: Cross multiply
    380.34x = 523.98 × 314.64
  4. Step 4: Simplify right side
    380.34x = 164,865.07
  5. Step 5: Solve for x
    x = 164,865.07/380.34
  6. Step 6: Final answer
    x = 433.47

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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.