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Finding the Fourth Proportional to 380.94, 525.87 and 264.30

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Solution

The fourth proportional to 380.94, 525.87 and 264.30 is: 364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.94 : 525.87 = 264.30 : x
  2. Step 2: Convert to fraction form
    380.94/525.87 = 264.30/x
  3. Step 3: Cross multiply
    380.94x = 525.87 × 264.30
  4. Step 4: Simplify right side
    380.94x = 138,987.44
  5. Step 5: Solve for x
    x = 138,987.44/380.94
  6. Step 6: Final answer
    x = 364.85

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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.