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Finding the Fourth Proportional to 380.01, 524.05 and 261.79

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Solution

The fourth proportional to 380.01, 524.05 and 261.79 is: 361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.01 : 524.05 = 261.79 : x
  2. Step 2: Convert to fraction form
    380.01/524.05 = 261.79/x
  3. Step 3: Cross multiply
    380.01x = 524.05 × 261.79
  4. Step 4: Simplify right side
    380.01x = 137,191.05
  5. Step 5: Solve for x
    x = 137,191.05/380.01
  6. Step 6: Final answer
    x = 361.02

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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.