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Finding the Fourth Proportional to 380.34, 567.90 and 263.88

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Solution

The fourth proportional to 380.34, 567.90 and 263.88 is: 394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.34 : 567.90 = 263.88 : x
  2. Step 2: Convert to fraction form
    380.34/567.90 = 263.88/x
  3. Step 3: Cross multiply
    380.34x = 567.90 × 263.88
  4. Step 4: Simplify right side
    380.34x = 149,857.45
  5. Step 5: Solve for x
    x = 149,857.45/380.34
  6. Step 6: Final answer
    x = 394.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.